Atkin-Lehner |
2+ 3+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
122760b |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
400896 |
Modular degree for the optimal curve |
Δ |
-206404441056000 = -1 · 28 · 39 · 53 · 11 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11+ 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8532,621108] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:54:1] [108:1674:1] |
Generators of the group modulo torsion |
j |
13631542272/40962625 |
j-invariant |
L |
11.611886443567 |
L(r)(E,1)/r! |
Ω |
0.39690646489807 |
Real period |
R |
1.2189990456701 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122760bi1 |
Quadratic twists by: -3 |