Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
3690s |
Isogeny class |
Conductor |
3690 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
6052522500 = 22 · 310 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-473,1397] |
[a1,a2,a3,a4,a6] |
j |
16022066761/8302500 |
j-invariant |
L |
2.3664003597095 |
L(r)(E,1)/r! |
Ω |
1.1832001798548 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29520bo1 118080cv1 1230d1 18450l1 |
Quadratic twists by: -4 8 -3 5 |