Atkin-Lehner |
2- 3+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450ci |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
364 |
Product of Tamagawa factors cp |
deg |
35642880 |
Modular degree for the optimal curve |
Δ |
4.3678772512364E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 -3 13- 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-174971180,-885099433553] |
[a1,a2,a3,a4,a6] |
Generators |
[-7355:66101:1] |
Generators of the group modulo torsion |
j |
77049876107927631195/568092555157504 |
j-invariant |
L |
12.862612537059 |
L(r)(E,1)/r! |
Ω |
0.041528950139822 |
Real period |
R |
0.85089672248819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99450k1 99450b1 |
Quadratic twists by: -3 5 |