Atkin-Lehner |
2+ 3- 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51282l |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-261692046 = -1 · 2 · 38 · 72 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11+ 0 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-99,891] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:36:1] |
Generators of the group modulo torsion |
j |
-148035889/358974 |
j-invariant |
L |
5.2331553995376 |
L(r)(E,1)/r! |
Ω |
1.545725101815 |
Real period |
R |
0.84639166973685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17094bb1 |
Quadratic twists by: -3 |