Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200bc |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-25088000 = -1 · 212 · 53 · 72 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 4 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,47,-223] |
[a1,a2,a3,a4,a6] |
Generators |
[7:20:1] |
Generators of the group modulo torsion |
j |
448 |
j-invariant |
L |
4.2622015785936 |
L(r)(E,1)/r! |
Ω |
1.1013330160072 |
Real period |
R |
0.96750971700741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39200cs1 78400eo1 39200cr1 39200u1 |
Quadratic twists by: -4 8 5 -7 |