Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800ha |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
120558375000000 = 26 · 39 · 59 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37875,2787500] |
[a1,a2,a3,a4,a6] |
Generators |
[436:8316:1] |
Generators of the group modulo torsion |
j |
65939264/1323 |
j-invariant |
L |
7.4955433516287 |
L(r)(E,1)/r! |
Ω |
0.58903865765731 |
Real period |
R |
3.1812612170911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800ii1 50400ee2 33600bs1 100800ig1 |
Quadratic twists by: -4 8 -3 5 |