Atkin-Lehner |
2+ 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
95424t |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-17808408576 = -1 · 214 · 37 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 5 -1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-247345,-47430673] |
[a1,a2,a3,a4,a6] |
Generators |
[5537:410328:1] |
Generators of the group modulo torsion |
j |
-102144487949235664/1086939 |
j-invariant |
L |
9.6015643542255 |
L(r)(E,1)/r! |
Ω |
0.10703939075039 |
Real period |
R |
6.4072302727393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007442 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95424bt1 11928f1 |
Quadratic twists by: -4 8 |