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 |
Δ |
1817607538688000 = 214 · 53 · 316 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32736,-984064] |
[a1,a2,a3,a4,a6] |
j |
947226559343329/443751840500 |
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 |
310b4 9920be4 22320by4 12400q4 |
Quadratic twists by: -4 8 -3 5 |