Atkin-Lehner |
2- 3+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
24648k |
Isogeny class |
Conductor |
24648 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-19965665581056 = -1 · 211 · 32 · 133 · 793 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 1 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4480,-242516] |
[a1,a2,a3,a4,a6] |
j |
-4856515050242/9748860147 |
j-invariant |
L |
2.1929328226561 |
L(r)(E,1)/r! |
Ω |
0.27411660283202 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49296k1 73944g1 |
Quadratic twists by: -4 -3 |