Atkin-Lehner |
2+ 5- 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24310m |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-59366235500 = -1 · 22 · 53 · 11 · 133 · 173 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 11+ 13- 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2113,-39344] |
[a1,a2,a3,a4,a6] |
j |
-1042621590184201/59366235500 |
j-invariant |
L |
2.1056568858963 |
L(r)(E,1)/r! |
Ω |
0.3509428143161 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
121550bd1 |
Quadratic twists by: 5 |