Atkin-Lehner |
2- 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
2478g |
Isogeny class |
Conductor |
2478 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
165018482786304 = 214 · 310 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4281984,-3412265439] |
[a1,a2,a3,a4,a6] |
Generators |
[2837:83925:1] |
Generators of the group modulo torsion |
j |
8682780835539571156494337/165018482786304 |
j-invariant |
L |
3.6384686192894 |
L(r)(E,1)/r! |
Ω |
0.10495141410515 |
Real period |
R |
4.9525891171539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19824v2 79296bc2 7434e2 61950s2 |
Quadratic twists by: -4 8 -3 5 |