Atkin-Lehner |
2+ 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31280g |
Isogeny class |
Conductor |
31280 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-104501475200000 = -1 · 210 · 55 · 175 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 -1 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11640,-87100] |
[a1,a2,a3,a4,a6] |
Generators |
[310:5780:1] |
Generators of the group modulo torsion |
j |
170312053494236/102052221875 |
j-invariant |
L |
6.3688698326861 |
L(r)(E,1)/r! |
Ω |
0.34738587880871 |
Real period |
R |
0.18333703875721 |
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 |
15640h1 125120cb1 |
Quadratic twists by: -4 8 |