Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200ds |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
150920000 = 26 · 54 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11- 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,87] |
[a1,a2,a3,a4,a6] |
j |
6553600/3773 |
j-invariant |
L |
4.6754039755133 |
L(r)(E,1)/r! |
Ω |
1.5584681159761 |
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 |
123200gx1 1925k1 123200ba1 |
Quadratic twists by: -4 8 5 |