Atkin-Lehner |
2- 3+ 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650cp |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-1375650573149250 = -1 · 2 · 312 · 53 · 234 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -3 -4 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,21217,1339031] |
[a1,a2,a3,a4,a6] |
j |
8450148651412987/11005204585194 |
j-invariant |
L |
2.588021381192 |
L(r)(E,1)/r! |
Ω |
0.32350270694712 |
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 |
127650bp1 |
Quadratic twists by: 5 |