Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
121680ba |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
73802327040 = 210 · 38 · 5 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 6 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1443,16562] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:182:1] |
Generators of the group modulo torsion |
j |
202612/45 |
j-invariant |
L |
7.7507151328471 |
L(r)(E,1)/r! |
Ω |
1.0290931574271 |
Real period |
R |
1.8828992972921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000126 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60840bm1 40560m1 121680by1 |
Quadratic twists by: -4 -3 13 |