Atkin-Lehner |
2- 5- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
69520bf |
Isogeny class |
Conductor |
69520 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
1738000 = 24 · 53 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 3 5- 2 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37,59] |
[a1,a2,a3,a4,a6] |
j |
350113536/108625 |
j-invariant |
L |
7.3655006820656 |
L(r)(E,1)/r! |
Ω |
2.4551668937034 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17380f1 |
Quadratic twists by: -4 |