Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
99372w |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-4168682429184 = -1 · 28 · 32 · 77 · 133 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 0 13- -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1699,-95031] |
[a1,a2,a3,a4,a6] |
Generators |
[35:78:1] [47:294:1] |
Generators of the group modulo torsion |
j |
8192/63 |
j-invariant |
L |
9.1357072569325 |
L(r)(E,1)/r! |
Ω |
0.3873634345287 |
Real period |
R |
0.49134021839767 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14196p1 99372v1 |
Quadratic twists by: -7 13 |