Atkin-Lehner |
2- 3+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
2562i |
Isogeny class |
Conductor |
2562 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
10920 |
Modular degree for the optimal curve |
Δ |
-17937371592 = -1 · 23 · 37 · 75 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ -3 -1 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-39526,3008171] |
[a1,a2,a3,a4,a6] |
j |
-6829249786786129249/17937371592 |
j-invariant |
L |
3.1941419001601 |
L(r)(E,1)/r! |
Ω |
1.06471396672 |
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 |
20496y1 81984ba1 7686e1 64050y1 |
Quadratic twists by: -4 8 -3 5 |