Atkin-Lehner |
3- 5- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
10815k |
Isogeny class |
Conductor |
10815 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
31549680225 = 36 · 52 · 75 · 103 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-36110,-2644125] |
[a1,a2,a3,a4,a6] |
j |
5207232020167427041/31549680225 |
j-invariant |
L |
1.0389963754765 |
L(r)(E,1)/r! |
Ω |
0.34633212515884 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32445f1 54075l1 75705b1 |
Quadratic twists by: -3 5 -7 |