Atkin-Lehner |
3- 5- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10545g |
Isogeny class |
Conductor |
10545 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-191990442375 = -1 · 310 · 53 · 19 · 372 |
Discriminant |
Eigenvalues |
1 3- 5- 2 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2948,-65347] |
[a1,a2,a3,a4,a6] |
j |
-2832007259987641/191990442375 |
j-invariant |
L |
4.8406237839568 |
L(r)(E,1)/r! |
Ω |
0.32270825226378 |
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 |
31635a1 52725c1 |
Quadratic twists by: -3 5 |