Atkin-Lehner |
5+ 7+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
127925c |
Isogeny class |
Conductor |
127925 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-28147465675 = -1 · 52 · 72 · 172 · 433 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7+ -1 7 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-153,8092] |
[a1,a2,a3,a4,a6] |
Generators |
[51:340:1] |
Generators of the group modulo torsion |
j |
-15850223545/1125898627 |
j-invariant |
L |
2.8023331968055 |
L(r)(E,1)/r! |
Ω |
0.97570179791957 |
Real period |
R |
0.23934336591571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000597633 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127925k1 |
Quadratic twists by: 5 |