Atkin-Lehner |
2+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1078c |
Isogeny class |
Conductor |
1078 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
507302488 = 23 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 0 4 7- 11+ -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22990,-1335972] |
[a1,a2,a3,a4,a6] |
j |
11422548526761/4312 |
j-invariant |
L |
1.550864759405 |
L(r)(E,1)/r! |
Ω |
0.38771618985126 |
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 |
8624x2 34496bf2 9702cg2 26950cb2 |
Quadratic twists by: -4 8 -3 5 |