Atkin-Lehner |
2- 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
24900a |
Isogeny class |
Conductor |
24900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-1050468750000 = -1 · 24 · 34 · 510 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 5 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1667,-42338] |
[a1,a2,a3,a4,a6] |
j |
3276800/6723 |
j-invariant |
L |
2.7328294365845 |
L(r)(E,1)/r! |
Ω |
0.4554715727641 |
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 |
99600da1 74700l1 24900s1 |
Quadratic twists by: -4 -3 5 |