Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4200n |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-165337200 = -1 · 24 · 310 · 52 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68,633] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:27:1] |
Generators of the group modulo torsion |
j |
-88218880/413343 |
j-invariant |
L |
4.3310628365648 |
L(r)(E,1)/r! |
Ω |
1.5761918190509 |
Real period |
R |
0.13739009377592 |
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 |
8400b1 33600q1 12600by1 4200t1 |
Quadratic twists by: -4 8 -3 5 |