Atkin-Lehner |
3+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
7191a |
Isogeny class |
Conductor |
7191 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1984 |
Modular degree for the optimal curve |
Δ |
366741 = 33 · 172 · 47 |
Discriminant |
Eigenvalues |
-2 3+ -1 -5 -3 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-63,190] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:19:1] [2:8:1] |
Generators of the group modulo torsion |
j |
1024192512/13583 |
j-invariant |
L |
2.6095217916448 |
L(r)(E,1)/r! |
Ω |
3.0286624721981 |
Real period |
R |
0.21540216313302 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115056l1 7191b1 122247d1 |
Quadratic twists by: -4 -3 17 |