Atkin-Lehner |
2+ 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350l |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-490106700 = -1 · 22 · 310 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -3 0 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117,1201] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:41:1] [-7:44:1] |
Generators of the group modulo torsion |
j |
-9765625/26892 |
j-invariant |
L |
6.0541230050489 |
L(r)(E,1)/r! |
Ω |
1.4614104931627 |
Real period |
R |
0.51783217595028 |
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 |
12450q1 37350bz1 |
Quadratic twists by: -3 5 |