Atkin-Lehner |
2+ 3+ 5+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150a |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10321920 |
Modular degree for the optimal curve |
Δ |
-9.23493187584E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,31750,4623556500] |
[a1,a2,a3,a4,a6] |
Generators |
[47345:10278515:1] |
Generators of the group modulo torsion |
j |
226523624554079/591035640053760000 |
j-invariant |
L |
4.4229884861586 |
L(r)(E,1)/r! |
Ω |
0.10294066079576 |
Real period |
R |
5.37079875727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999777443 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23430i1 |
Quadratic twists by: 5 |