Atkin-Lehner |
2- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
5950n |
Isogeny class |
Conductor |
5950 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
-32368000000 = -1 · 210 · 56 · 7 · 172 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -4 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,787,-1583] |
[a1,a2,a3,a4,a6] |
Generators |
[18:127:1] |
Generators of the group modulo torsion |
j |
3449795831/2071552 |
j-invariant |
L |
3.9296433949128 |
L(r)(E,1)/r! |
Ω |
0.68063294300315 |
Real period |
R |
0.5773513367681 |
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 |
47600bb1 53550w1 238e1 41650bu1 |
Quadratic twists by: -4 -3 5 -7 |