Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800cc |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
333450880000000 = 213 · 57 · 75 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -1 -1 8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35008,-2351488] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:350:1] [-104:392:1] |
Generators of the group modulo torsion |
j |
74140932601/5210170 |
j-invariant |
L |
9.6234317951109 |
L(r)(E,1)/r! |
Ω |
0.35057040156934 |
Real period |
R |
0.34313477948726 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000136 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850r1 17360bg1 |
Quadratic twists by: -4 5 |