Atkin-Lehner |
3- 7- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
17157l |
Isogeny class |
Conductor |
17157 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-4290056379 = -1 · 37 · 74 · 19 · 43 |
Discriminant |
Eigenvalues |
-2 3- -1 7- -2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,174,-2968] |
[a1,a2,a3,a4,a6] |
Generators |
[12:31:1] |
Generators of the group modulo torsion |
j |
579259437056/4290056379 |
j-invariant |
L |
2.9377083142387 |
L(r)(E,1)/r! |
Ω |
0.6878984222991 |
Real period |
R |
0.15251983531129 |
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 |
51471o1 120099h1 |
Quadratic twists by: -3 -7 |