Atkin-Lehner |
2+ 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31350s |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
43505280 |
Modular degree for the optimal curve |
Δ |
5.7380890308671E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11+ 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2683647201,-52254515745452] |
[a1,a2,a3,a4,a6] |
Generators |
[-13085463034153:-183256630488846:393832837] |
Generators of the group modulo torsion |
j |
218876902456505198273940625/5875803167607868796928 |
j-invariant |
L |
5.8021560645679 |
L(r)(E,1)/r! |
Ω |
0.021010187290971 |
Real period |
R |
19.725655614493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94050dm1 31350bo1 |
Quadratic twists by: -3 5 |