Atkin-Lehner |
3- 7+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
56637c |
Isogeny class |
Conductor |
56637 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
231311228337 = 37 · 76 · 29 · 31 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ -2 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1535,614] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:73:1] [-3:73:1] |
Generators of the group modulo torsion |
j |
548347731625/317299353 |
j-invariant |
L |
5.9698252337155 |
L(r)(E,1)/r! |
Ω |
0.83895897021469 |
Real period |
R |
7.1157535060282 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18879e1 |
Quadratic twists by: -3 |