Atkin-Lehner |
2+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30160b |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
11370320 = 24 · 5 · 132 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 0 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-291,-1810] |
[a1,a2,a3,a4,a6] |
j |
170912671744/710645 |
j-invariant |
L |
4.6234975742088 |
L(r)(E,1)/r! |
Ω |
1.1558743935528 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15080b1 120640cr1 |
Quadratic twists by: -4 8 |