Atkin-Lehner |
2+ 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350o |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-59088867187500 = -1 · 22 · 36 · 512 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 -3 4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8433,216841] |
[a1,a2,a3,a4,a6] |
j |
5822285399/5187500 |
j-invariant |
L |
1.629685577682 |
L(r)(E,1)/r! |
Ω |
0.40742139442284 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4150l1 7470l1 |
Quadratic twists by: -3 5 |