Atkin-Lehner |
3- 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
10545f |
Isogeny class |
Conductor |
10545 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-23125975875 = -1 · 36 · 53 · 193 · 37 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 -3 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-171,7310] |
[a1,a2,a3,a4,a6] |
j |
-556223463424/23125975875 |
j-invariant |
L |
1.9979738789415 |
L(r)(E,1)/r! |
Ω |
0.99898693947074 |
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 |
31635j1 52725a1 |
Quadratic twists by: -3 5 |