Atkin-Lehner |
2- 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
121024v |
Isogeny class |
Conductor |
121024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37376 |
Modular degree for the optimal curve |
Δ |
-3605425984 = -1 · 26 · 314 · 61 |
Discriminant |
Eigenvalues |
2- 0 -1 -1 -5 -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-203,3096] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:62:1] |
Generators of the group modulo torsion |
j |
-14455457856/56334781 |
j-invariant |
L |
2.9850668064536 |
L(r)(E,1)/r! |
Ω |
1.2252665610297 |
Real period |
R |
0.60906476614253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000136112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121024o1 60512c1 |
Quadratic twists by: -4 8 |