Atkin-Lehner |
3+ 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
124545i |
Isogeny class |
Conductor |
124545 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-2191161907575 = -1 · 34 · 52 · 196 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 -4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3242,6487] |
[a1,a2,a3,a4,a6] |
j |
80062991/46575 |
j-invariant |
L |
0.99188316736528 |
L(r)(E,1)/r! |
Ω |
0.4959417834805 |
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 |
345d1 |
Quadratic twists by: -19 |