Atkin-Lehner |
2- 31+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
121024u |
Isogeny class |
Conductor |
121024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-245874294784 = -1 · 222 · 312 · 61 |
Discriminant |
Eigenvalues |
2- 0 3 3 -3 -3 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8396,-297072] |
[a1,a2,a3,a4,a6] |
Generators |
[39326:170624:343] |
Generators of the group modulo torsion |
j |
-249689960073/937936 |
j-invariant |
L |
9.0228751819394 |
L(r)(E,1)/r! |
Ω |
0.24931809528923 |
Real period |
R |
4.52377673533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999987376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121024n1 30256e1 |
Quadratic twists by: -4 8 |