Atkin-Lehner |
2+ 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
2562d |
Isogeny class |
Conductor |
2562 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
600 |
Modular degree for the optimal curve |
Δ |
-41975808 = -1 · 215 · 3 · 7 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -1 -1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,24,310] |
[a1,a2,a3,a4,a6] |
j |
1622234375/41975808 |
j-invariant |
L |
1.527420332148 |
L(r)(E,1)/r! |
Ω |
1.527420332148 |
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 |
20496n1 81984e1 7686o1 64050bv1 |
Quadratic twists by: -4 8 -3 5 |