Atkin-Lehner |
2+ 5- 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24310o |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-8132406816248000 = -1 · 26 · 53 · 115 · 135 · 17 |
Discriminant |
Eigenvalues |
2+ 3 5- 3 11+ 13- 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19474,-4458220] |
[a1,a2,a3,a4,a6] |
j |
-816773715885753081/8132406816248000 |
j-invariant |
L |
5.2767129565488 |
L(r)(E,1)/r! |
Ω |
0.17589043188496 |
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 |
121550bf1 |
Quadratic twists by: 5 |