Atkin-Lehner |
2- 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
24900h |
Isogeny class |
Conductor |
24900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-3403518750000 = -1 · 24 · 38 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 1 0 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1333,91162] |
[a1,a2,a3,a4,a6] |
j |
-41943040/544563 |
j-invariant |
L |
1.3451068461321 |
L(r)(E,1)/r! |
Ω |
0.67255342306608 |
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 |
99600dd1 74700q1 24900k1 |
Quadratic twists by: -4 -3 5 |