Atkin-Lehner |
2+ 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
95424k |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
-8.6620002056009E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-442113,-461709567] |
[a1,a2,a3,a4,a6] |
Generators |
[1032:13419:1] [2239:98832:1] |
Generators of the group modulo torsion |
j |
-36457310584626625/330429084991488 |
j-invariant |
L |
10.055077788198 |
L(r)(E,1)/r! |
Ω |
0.081004637890913 |
Real period |
R |
10.344137951375 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996623 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95424cc1 2982j1 |
Quadratic twists by: -4 8 |