Atkin-Lehner |
2+ 3+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
37488g |
Isogeny class |
Conductor |
37488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
11806020864 = 28 · 310 · 11 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -3 11+ 3 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-617,2949] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-243:1] [4:23:1] |
Generators of the group modulo torsion |
j |
101634915328/46117269 |
j-invariant |
L |
5.9539056529701 |
L(r)(E,1)/r! |
Ω |
1.1401033183612 |
Real period |
R |
2.6111254818237 |
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 |
18744c1 112464i1 |
Quadratic twists by: -4 -3 |