Atkin-Lehner |
2+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
96320be |
Isogeny class |
Conductor |
96320 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-370022912000000 = -1 · 215 · 56 · 75 · 43 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- -3 -6 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2092,926224] |
[a1,a2,a3,a4,a6] |
Generators |
[458:9800:1] [58:-1000:1] |
Generators of the group modulo torsion |
j |
-30900024072/11292203125 |
j-invariant |
L |
7.2374872114636 |
L(r)(E,1)/r! |
Ω |
0.43573099470937 |
Real period |
R |
0.13841657849214 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96320p1 48160b1 |
Quadratic twists by: -4 8 |