Atkin-Lehner |
5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9295a |
Isogeny class |
Conductor |
9295 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
187200 |
Modular degree for the optimal curve |
Δ |
-44108089579571875 = -1 · 55 · 113 · 139 |
Discriminant |
Eigenvalues |
2 -2 5+ 4 11+ 13- 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-202856,36521931] |
[a1,a2,a3,a4,a6] |
j |
-87056109568/4159375 |
j-invariant |
L |
2.8515728401683 |
L(r)(E,1)/r! |
Ω |
0.35644660502104 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83655bk1 46475b1 102245h1 9295e1 |
Quadratic twists by: -3 5 -11 13 |