Atkin-Lehner |
2+ 3- 13- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75582m |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
4.2567483957717E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 4 13- 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1181583,-381617379] |
[a1,a2,a3,a4,a6] |
Generators |
[-390:4641:1] |
Generators of the group modulo torsion |
j |
250258647076689384433/58391610367238928 |
j-invariant |
L |
3.0289246188498 |
L(r)(E,1)/r! |
Ω |
0.14724323334189 |
Real period |
R |
1.2856807361899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25194y1 |
Quadratic twists by: -3 |