Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2574c |
Isogeny class |
Conductor |
2574 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
12849408 = 28 · 33 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-132,592] |
[a1,a2,a3,a4,a6] |
Generators |
[11:14:1] |
Generators of the group modulo torsion |
j |
9460870875/475904 |
j-invariant |
L |
2.3320379940585 |
L(r)(E,1)/r! |
Ω |
2.2161524664587 |
Real period |
R |
0.52614565770038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20592s1 82368a1 2574r1 64350cx1 |
Quadratic twists by: -4 8 -3 5 |