Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040bd |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
374153683200 = 28 · 3 · 52 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33436,2341964] |
[a1,a2,a3,a4,a6] |
Generators |
[7:1452:1] |
Generators of the group modulo torsion |
j |
9115564624/825 |
j-invariant |
L |
7.0688540998532 |
L(r)(E,1)/r! |
Ω |
0.91129561895338 |
Real period |
R |
1.9392318894202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14520f1 116160hb1 87120cm1 2640j1 |
Quadratic twists by: -4 8 -3 -11 |