Atkin-Lehner |
2- 3- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45990bt |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
141571584 |
Modular degree for the optimal curve |
Δ |
-4.4790057329497E+31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 3 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5724333382,-275486116804243] |
[a1,a2,a3,a4,a6] |
Generators |
[66063339757458565184318639843177195922431871701053307059703039768067037188:-39355847566273245613826605573308040657790903279214013253005334975226112915637:194395743303729825159782145465060173467180094055952638676467068950336] |
Generators of the group modulo torsion |
j |
28455809224686390091585605073319/61440407859392166137695312500 |
j-invariant |
L |
9.0585583008577 |
L(r)(E,1)/r! |
Ω |
0.010510049924528 |
Real period |
R |
107.73686097957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330k1 |
Quadratic twists by: -3 |