Atkin-Lehner |
2- 3+ 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
62118be |
Isogeny class |
Conductor |
62118 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-29945232632512512 = -1 · 216 · 33 · 74 · 172 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-211724,-38357745] |
[a1,a2,a3,a4,a6] |
j |
-38874811472330905539/1109082690093056 |
j-invariant |
L |
7.1101183258393 |
L(r)(E,1)/r! |
Ω |
0.11109559883984 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62118e1 |
Quadratic twists by: -3 |