Atkin-Lehner |
2- 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
37926bd |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
7832645001216 = 213 · 33 · 77 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -6 -5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5228,-53777] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:-187:1] [-47:317:1] |
Generators of the group modulo torsion |
j |
4973940243/2465792 |
j-invariant |
L |
11.700142866735 |
L(r)(E,1)/r! |
Ω |
0.59083927924574 |
Real period |
R |
0.19040943564588 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37926c1 5418k1 |
Quadratic twists by: -3 -7 |