Atkin-Lehner |
2+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8360i |
Isogeny class |
Conductor |
8360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
3494480 = 24 · 5 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 11- 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-195,1112] |
[a1,a2,a3,a4,a6] |
j |
51514894336/218405 |
j-invariant |
L |
5.0287632555094 |
L(r)(E,1)/r! |
Ω |
2.5143816277547 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16720l1 66880b1 75240bc1 41800x1 |
Quadratic twists by: -4 8 -3 5 |