Atkin-Lehner |
2+ 3+ 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
127794l |
Isogeny class |
Conductor |
127794 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
48097450532112 = 24 · 3 · 198 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 4 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10476,-247296] |
[a1,a2,a3,a4,a6] |
Generators |
[3836:235620:1] |
Generators of the group modulo torsion |
j |
2703045457/1022352 |
j-invariant |
L |
4.5094950769162 |
L(r)(E,1)/r! |
Ω |
0.48710724905256 |
Real period |
R |
4.6288522379647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000259685 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6726i1 |
Quadratic twists by: -19 |