Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50430o |
Isogeny class |
Conductor |
50430 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
deg |
5569200 |
Modular degree for the optimal curve |
Δ |
-1.0212075E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 -1 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20179313,34892243588] |
[a1,a2,a3,a4,a6] |
Generators |
[3354:68635:1] |
Generators of the group modulo torsion |
j |
-540598825531316542089721/60750000000000000 |
j-invariant |
L |
5.5069885135167 |
L(r)(E,1)/r! |
Ω |
0.18140572368073 |
Real period |
R |
0.40476403954614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50430i1 |
Quadratic twists by: 41 |