Atkin-Lehner |
2- 3- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
120900y |
Isogeny class |
Conductor |
120900 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3801600 |
Modular degree for the optimal curve |
Δ |
3058567492500000000 = 28 · 35 · 510 · 132 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -5 13- -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-443333,-76494537] |
[a1,a2,a3,a4,a6] |
j |
3854560460800/1223426997 |
j-invariant |
L |
1.8965096124833 |
L(r)(E,1)/r! |
Ω |
0.18965098110941 |
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 |
120900s1 |
Quadratic twists by: 5 |