Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2574h |
Isogeny class |
Conductor |
2574 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
-1048044295584 = -1 · 25 · 36 · 112 · 135 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 11+ 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2520,-8096] |
[a1,a2,a3,a4,a6] |
Generators |
[87:886:1] |
Generators of the group modulo torsion |
j |
2427173723519/1437646496 |
j-invariant |
L |
2.4696915448886 |
L(r)(E,1)/r! |
Ω |
0.51203337846565 |
Real period |
R |
0.48233018563931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20592bs1 82368bn1 286d1 64350dp1 |
Quadratic twists by: -4 8 -3 5 |