Atkin-Lehner |
2- 7+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
72688d |
Isogeny class |
Conductor |
72688 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
17513821208576 = 215 · 77 · 11 · 59 |
Discriminant |
Eigenvalues |
2- -2 -1 7+ 11- 1 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30416,-2041964] |
[a1,a2,a3,a4,a6] |
j |
759773848711249/4275835256 |
j-invariant |
L |
0.72326925022264 |
L(r)(E,1)/r! |
Ω |
0.36163463012022 |
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 |
9086g1 |
Quadratic twists by: -4 |