Atkin-Lehner |
3- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7191g |
Isogeny class |
Conductor |
7191 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
590585403501 = 39 · 172 · 473 |
Discriminant |
Eigenvalues |
0 3- 3 -1 -3 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2136,-8757] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:76:1] |
Generators of the group modulo torsion |
j |
1478427148288/810130869 |
j-invariant |
L |
3.9950791404037 |
L(r)(E,1)/r! |
Ω |
0.7504028382871 |
Real period |
R |
1.3309781548545 |
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 |
115056bg1 2397c1 122247e1 |
Quadratic twists by: -4 -3 17 |