Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550bh |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
7.0734396889498E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5592942,-3088138284] |
[a1,a2,a3,a4,a6] |
Generators |
[30339:5252868:1] |
Generators of the group modulo torsion |
j |
1698623579042432281/620987846492160 |
j-invariant |
L |
4.7573157218293 |
L(r)(E,1)/r! |
Ω |
0.10117889991335 |
Real period |
R |
5.8773565015957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999771 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17850bs1 10710bd1 |
Quadratic twists by: -3 5 |