Atkin-Lehner |
2+ 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
7950f |
Isogeny class |
Conductor |
7950 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-3259996875000 = -1 · 23 · 39 · 58 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -4 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1800,-81000] |
[a1,a2,a3,a4,a6] |
Generators |
[35:145:1] |
Generators of the group modulo torsion |
j |
1649696855/8345592 |
j-invariant |
L |
2.5539587507335 |
L(r)(E,1)/r! |
Ω |
0.4002494002403 |
Real period |
R |
2.1269727901321 |
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 |
63600do1 23850cw1 7950bo1 |
Quadratic twists by: -4 -3 5 |