Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
7950bq |
Isogeny class |
Conductor |
7950 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-70746459960937500 = -1 · 22 · 37 · 516 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -6 -6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8287,-12793083] |
[a1,a2,a3,a4,a6] |
Generators |
[862:24769:1] |
Generators of the group modulo torsion |
j |
4028027503031/4527773437500 |
j-invariant |
L |
7.6709802190764 |
L(r)(E,1)/r! |
Ω |
0.16126511610731 |
Real period |
R |
3.3976793725237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63600bs1 23850bf1 1590e1 |
Quadratic twists by: -4 -3 5 |