Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31740a |
Isogeny class |
Conductor |
31740 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
662400 |
Modular degree for the optimal curve |
Δ |
-3044731107725280000 = -1 · 28 · 35 · 54 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -6 -3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129781,85902625] |
[a1,a2,a3,a4,a6] |
Generators |
[8288:753825:1] |
Generators of the group modulo torsion |
j |
-12058624/151875 |
j-invariant |
L |
4.2039022921385 |
L(r)(E,1)/r! |
Ω |
0.21479818938299 |
Real period |
R |
3.2619007824772 |
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 |
126960cr1 95220bd1 31740c1 |
Quadratic twists by: -4 -3 -23 |