Atkin-Lehner |
2+ 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
3770b |
Isogeny class |
Conductor |
3770 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
5597696000 = 212 · 53 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 2 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-653,5256] |
[a1,a2,a3,a4,a6] |
Generators |
[0:72:1] |
Generators of the group modulo torsion |
j |
30726058889161/5597696000 |
j-invariant |
L |
1.9812338830223 |
L(r)(E,1)/r! |
Ω |
1.2871821223066 |
Real period |
R |
0.51306748508696 |
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 |
30160ba1 120640n1 33930x1 18850y1 |
Quadratic twists by: -4 8 -3 5 |