Atkin-Lehner |
2- 3+ 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116610cd |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
873600 |
Modular degree for the optimal curve |
Δ |
-6565131359523360 = -1 · 25 · 37 · 5 · 138 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 5 13+ 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-595,3898097] |
[a1,a2,a3,a4,a6] |
j |
-28561/8048160 |
j-invariant |
L |
5.0420255719811 |
L(r)(E,1)/r! |
Ω |
0.33613502213471 |
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 |
116610f1 |
Quadratic twists by: 13 |