Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935bt |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-6018196225069875 = -1 · 3 · 53 · 77 · 117 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 11- -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1976,3731921] |
[a1,a2,a3,a4,a6] |
j |
-4096/28875 |
j-invariant |
L |
2.7247363248246 |
L(r)(E,1)/r! |
Ω |
0.34059203593189 |
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 |
12705f1 8085o1 |
Quadratic twists by: -7 -11 |