Atkin-Lehner |
2- 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
15340c |
Isogeny class |
Conductor |
15340 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
8856 |
Modular degree for the optimal curve |
Δ |
-5339854000 = -1 · 24 · 53 · 13 · 593 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 -3 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-241,3720] |
[a1,a2,a3,a4,a6] |
j |
-97152876544/333740875 |
j-invariant |
L |
1.1900130913493 |
L(r)(E,1)/r! |
Ω |
1.1900130913493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
61360k1 76700d1 |
Quadratic twists by: -4 5 |