Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3630m |
Isogeny class |
Conductor |
3630 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
66528 |
Modular degree for the optimal curve |
Δ |
67507613675568000 = 27 · 39 · 53 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 11- 5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-103458,-2798732] |
[a1,a2,a3,a4,a6] |
j |
571305535801/314928000 |
j-invariant |
L |
2.5635797684587 |
L(r)(E,1)/r! |
Ω |
0.28484219649541 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
29040ct1 116160bd1 10890bv1 18150ce1 |
Quadratic twists by: -4 8 -3 5 |