Atkin-Lehner |
2+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350bw |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-250284086920000 = -1 · 26 · 54 · 7 · 197 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22750,-1533900] |
[a1,a2,a3,a4,a6] |
j |
-44289025/8512 |
j-invariant |
L |
2.3084034421098 |
L(r)(E,1)/r! |
Ω |
0.19236721562442 |
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 |
126350cn1 6650bj1 |
Quadratic twists by: 5 -19 |