Atkin-Lehner |
2+ 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
121024n |
Isogeny class |
Conductor |
121024 |
Conductor |
∏ cp |
4 |
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 |
[53:31:1] |
Generators of the group modulo torsion |
j |
-249689960073/937936 |
j-invariant |
L |
6.3991992039544 |
L(r)(E,1)/r! |
Ω |
0.99159543862406 |
Real period |
R |
1.6133593895774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999338816 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121024u1 3782a1 |
Quadratic twists by: -4 8 |