Atkin-Lehner |
3+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
2613b |
Isogeny class |
Conductor |
2613 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-27136100763837 = -1 · 35 · 135 · 673 |
Discriminant |
Eigenvalues |
1 3+ 2 2 -5 13- 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7216,87633] |
[a1,a2,a3,a4,a6] |
j |
41545045924015607/27136100763837 |
j-invariant |
L |
2.0859392787359 |
L(r)(E,1)/r! |
Ω |
0.41718785574719 |
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 |
41808q1 7839c1 65325p1 128037i1 |
Quadratic twists by: -4 -3 5 -7 |