Atkin-Lehner |
2+ 5+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123760a |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
-15470000 = -1 · 24 · 54 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -3 13- 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-91,-416] |
[a1,a2,a3,a4,a6] |
j |
-5266130944/966875 |
j-invariant |
L |
1.529089854649 |
L(r)(E,1)/r! |
Ω |
0.76454543347943 |
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 |
61880c1 |
Quadratic twists by: -4 |