Atkin-Lehner |
3- 7+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
127743t |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1124928 |
Modular degree for the optimal curve |
Δ |
22792176924596541 = 36 · 78 · 11 · 793 |
Discriminant |
Eigenvalues |
0 3- 3 7+ 11+ -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-214489,-37609820] |
[a1,a2,a3,a4,a6] |
Generators |
[277370:51643007:8] |
Generators of the group modulo torsion |
j |
189302561308672/3953679741 |
j-invariant |
L |
8.4498348722489 |
L(r)(E,1)/r! |
Ω |
0.22212615490459 |
Real period |
R |
6.3401169283184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000121484 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
127743g1 |
Quadratic twists by: -7 |