Atkin-Lehner |
2- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10360g |
Isogeny class |
Conductor |
10360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11232 |
Modular degree for the optimal curve |
Δ |
-28365680 = -1 · 24 · 5 · 7 · 373 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -4 -6 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15216,-727531] |
[a1,a2,a3,a4,a6] |
j |
-24351951486578944/1772855 |
j-invariant |
L |
0.42985506598766 |
L(r)(E,1)/r! |
Ω |
0.21492753299383 |
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 |
20720a1 82880o1 93240r1 51800d1 |
Quadratic twists by: -4 8 -3 5 |