Atkin-Lehner |
7- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
8099a |
Isogeny class |
Conductor |
8099 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
12700 |
Modular degree for the optimal curve |
Δ |
-508149409859 = -1 · 7 · 13 · 895 |
Discriminant |
Eigenvalues |
0 3 2 7- 0 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3064,73741] |
[a1,a2,a3,a4,a6] |
j |
-3181192830517248/508149409859 |
j-invariant |
L |
4.4800236030908 |
L(r)(E,1)/r! |
Ω |
0.89600472061816 |
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 |
129584n1 72891f1 56693a1 105287a1 |
Quadratic twists by: -4 -3 -7 13 |