Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416fb |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-8695185408 = -1 · 217 · 36 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -3 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,-4912] |
[a1,a2,a3,a4,a6] |
j |
-31250/91 |
j-invariant |
L |
1.0617411941003 |
L(r)(E,1)/r! |
Ω |
0.5308705969264 |
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 |
52416ct1 13104l1 5824u1 |
Quadratic twists by: -4 8 -3 |