Atkin-Lehner |
2- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31280m |
Isogeny class |
Conductor |
31280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-230220800000 = -1 · 213 · 55 · 17 · 232 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 -2 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2216,-45584] |
[a1,a2,a3,a4,a6] |
Generators |
[60:184:1] |
Generators of the group modulo torsion |
j |
-293946977449/56206250 |
j-invariant |
L |
3.710693141914 |
L(r)(E,1)/r! |
Ω |
0.34434262021327 |
Real period |
R |
1.3470207157395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910a1 125120cs1 |
Quadratic twists by: -4 8 |