Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3630h |
Isogeny class |
Conductor |
3630 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
5227200000 = 29 · 33 · 55 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- -5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5129,-141748] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:22:1] |
Generators of the group modulo torsion |
j |
123286270205329/43200000 |
j-invariant |
L |
2.9801115109945 |
L(r)(E,1)/r! |
Ω |
0.5641708674721 |
Real period |
R |
1.7607617850172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29040cd1 116160br1 10890ca1 18150bz1 |
Quadratic twists by: -4 8 -3 5 |