Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800lg |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-7713972403200 = -1 · 210 · 316 · 52 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2460,141640] |
[a1,a2,a3,a4,a6] |
Generators |
[749:20457:1] |
Generators of the group modulo torsion |
j |
-88218880/413343 |
j-invariant |
L |
7.1506543270303 |
L(r)(E,1)/r! |
Ω |
0.64347761557066 |
Real period |
R |
5.5562572392601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800et1 25200y1 33600fz1 100800pi1 |
Quadratic twists by: -4 8 -3 5 |