Atkin-Lehner |
2- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
2480i |
Isogeny class |
Conductor |
2480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-13002342400 = -1 · 224 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1696,-26880] |
[a1,a2,a3,a4,a6] |
j |
-131794519969/3174400 |
j-invariant |
L |
2.9714161400858 |
L(r)(E,1)/r! |
Ω |
0.37142701751073 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
310b1 9920be1 22320by1 12400q1 |
Quadratic twists by: -4 8 -3 5 |