Atkin-Lehner |
2- 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
124600t |
Isogeny class |
Conductor |
124600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-69776000000 = -1 · 210 · 56 · 72 · 89 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 4 0 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,725,-10250] |
[a1,a2,a3,a4,a6] |
j |
2634012/4361 |
j-invariant |
L |
2.3087063193917 |
L(r)(E,1)/r! |
Ω |
0.57717678338979 |
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 |
4984a1 |
Quadratic twists by: 5 |