Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550fg |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
-139944579635700 = -1 · 22 · 38 · 52 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 0 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11695,291957] |
[a1,a2,a3,a4,a6] |
Generators |
[15:678:1] |
Generators of the group modulo torsion |
j |
9707148359375/7678714932 |
j-invariant |
L |
10.39996339357 |
L(r)(E,1)/r! |
Ω |
0.37429144930201 |
Real period |
R |
0.86830425054023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999901316 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850q1 116550ck1 |
Quadratic twists by: -3 5 |