Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38808bg |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
8558772746832 = 24 · 310 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-916986,337980881] |
[a1,a2,a3,a4,a6] |
j |
62140690757632/6237 |
j-invariant |
L |
1.1305902018309 |
L(r)(E,1)/r! |
Ω |
0.56529510091896 |
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 |
77616bs1 12936n1 5544g1 |
Quadratic twists by: -4 -3 -7 |