Atkin-Lehner |
3+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
2613a |
Isogeny class |
Conductor |
2613 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-23517 = -1 · 33 · 13 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 2 2 -3 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27,-66] |
[a1,a2,a3,a4,a6] |
j |
-2181825073/23517 |
j-invariant |
L |
1.0463233235403 |
L(r)(E,1)/r! |
Ω |
1.0463233235403 |
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 |
41808l1 7839a1 65325q1 128037l1 |
Quadratic twists by: -4 -3 5 -7 |