Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
35700bp |
Isogeny class |
Conductor |
35700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
93600 |
Modular degree for the optimal curve |
Δ |
85715700000000 = 28 · 3 · 58 · 75 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20333,1016463] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1038:1] |
Generators of the group modulo torsion |
j |
9297141760/857157 |
j-invariant |
L |
7.1686856921898 |
L(r)(E,1)/r! |
Ω |
0.59004886204788 |
Real period |
R |
4.0497695209565 |
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 |
107100by1 35700m1 |
Quadratic twists by: -3 5 |