Atkin-Lehner |
2- 3- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
31734k |
Isogeny class |
Conductor |
31734 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
441600 |
Modular degree for the optimal curve |
Δ |
-24244143099134976 = -1 · 210 · 311 · 412 · 433 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 1 -5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-50189,8664117] |
[a1,a2,a3,a4,a6] |
Generators |
[-241:2712:1] [-165:3608:1] |
Generators of the group modulo torsion |
j |
-19178458591950217/33256712070144 |
j-invariant |
L |
9.4072569865346 |
L(r)(E,1)/r! |
Ω |
0.33864519746975 |
Real period |
R |
0.11574622762534 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10578d1 |
Quadratic twists by: -3 |