Atkin-Lehner |
2- 3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450co |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
326913600000000 = 212 · 3 · 58 · 133 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2660963,1670508417] |
[a1,a2,a3,a4,a6] |
Generators |
[1032:4359:1] |
Generators of the group modulo torsion |
j |
133358347042307244649/20922470400 |
j-invariant |
L |
11.979095561976 |
L(r)(E,1)/r! |
Ω |
0.42471442255864 |
Real period |
R |
0.78347387520517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090c1 |
Quadratic twists by: 5 |