Atkin-Lehner |
2- 3- 5+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650db |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-7270066406250 = -1 · 2 · 37 · 59 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -5 4 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4537,-54333] |
[a1,a2,a3,a4,a6] |
j |
661003929431/465284250 |
j-invariant |
L |
5.8780688199516 |
L(r)(E,1)/r! |
Ω |
0.41986223764082 |
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 |
25530c1 |
Quadratic twists by: 5 |