Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200ba |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
2358125000000 = 26 · 510 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11- -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3333,4213] |
[a1,a2,a3,a4,a6] |
j |
6553600/3773 |
j-invariant |
L |
0.69696798315034 |
L(r)(E,1)/r! |
Ω |
0.69696812961773 |
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 |
123200fm1 1925b1 123200ds1 |
Quadratic twists by: -4 8 5 |