Atkin-Lehner |
2+ 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810d |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
7100100 = 22 · 32 · 52 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-53,57] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-19:1] [-42:141:8] |
Generators of the group modulo torsion |
j |
49430863/20700 |
j-invariant |
L |
5.2695926337234 |
L(r)(E,1)/r! |
Ω |
2.1330301146427 |
Real period |
R |
0.6176181711582 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430fd1 33810bl1 |
Quadratic twists by: -3 -7 |