Atkin-Lehner |
2+ 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710bd |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-5381261457425694720 = -1 · 218 · 36 · 5 · 117 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-249989,-121557328] |
[a1,a2,a3,a4,a6] |
j |
-975276594443809/3037581803520 |
j-invariant |
L |
2.3645111442389 |
L(r)(E,1)/r! |
Ω |
0.098521297636821 |
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 |
5610be1 |
Quadratic twists by: -11 |