Atkin-Lehner |
2- 3+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
37488u |
Isogeny class |
Conductor |
37488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
145753344 = 28 · 36 · 11 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 11- -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1077,-13239] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:2:1] [69:486:1] |
Generators of the group modulo torsion |
j |
540174450688/569349 |
j-invariant |
L |
6.7966470321248 |
L(r)(E,1)/r! |
Ω |
0.83337316853414 |
Real period |
R |
2.0388966458084 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9372e1 112464x1 |
Quadratic twists by: -4 -3 |