Atkin-Lehner |
2+ 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
113216g |
Isogeny class |
Conductor |
113216 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
179066880 |
Modular degree for the optimal curve |
Δ |
-1.4423317751219E+31 |
Discriminant |
Eigenvalues |
2+ 0 -3 1 1 -3 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11962996,182721945468144] |
[a1,a2,a3,a4,a6] |
Generators |
[10017302812:5124269998688:357911] |
Generators of the group modulo torsion |
j |
722276795807077313223/55020590786814305709850624 |
j-invariant |
L |
3.1482705843022 |
L(r)(E,1)/r! |
Ω |
0.017652049546125 |
Real period |
R |
14.862630049822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113216m1 3538b1 |
Quadratic twists by: -4 8 |