Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3630n |
Isogeny class |
Conductor |
3630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3397378193120978550 = 2 · 320 · 52 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-503786,-105462367] |
[a1,a2,a3,a4,a6] |
Generators |
[-961764:3425359:1728] |
Generators of the group modulo torsion |
j |
7981893677157049/1917731420550 |
j-invariant |
L |
4.1833102025015 |
L(r)(E,1)/r! |
Ω |
0.18232804187142 |
Real period |
R |
11.471933114522 |
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 |
29040cu4 116160dz4 10890v3 18150y3 |
Quadratic twists by: -4 8 -3 5 |