Atkin-Lehner |
3- 7- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
114807u |
Isogeny class |
Conductor |
114807 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
826954821 = 32 · 76 · 11 · 71 |
Discriminant |
Eigenvalues |
-2 3- -1 7- 11+ -7 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1486,-22508] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:4:1] |
Generators of the group modulo torsion |
j |
3086626816/7029 |
j-invariant |
L |
2.7468198860898 |
L(r)(E,1)/r! |
Ω |
0.76900634943492 |
Real period |
R |
1.7859539708864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2343b1 |
Quadratic twists by: -7 |