Atkin-Lehner |
5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
51425n |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-129406994921875 = -1 · 58 · 117 · 17 |
Discriminant |
Eigenvalues |
0 2 5+ 3 11- 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4033,557468] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:544:1] |
Generators of the group modulo torsion |
j |
-262144/4675 |
j-invariant |
L |
8.0429400362206 |
L(r)(E,1)/r! |
Ω |
0.49357020978863 |
Real period |
R |
2.0369290621467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10285c1 4675k1 |
Quadratic twists by: 5 -11 |