Atkin-Lehner |
2+ 3+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
17346i |
Isogeny class |
Conductor |
17346 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-1062199656 = -1 · 23 · 38 · 73 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 2 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,241,-531] |
[a1,a2,a3,a4,a6] |
Generators |
[41:263:1] |
Generators of the group modulo torsion |
j |
4483962449/3096792 |
j-invariant |
L |
2.6042283740403 |
L(r)(E,1)/r! |
Ω |
0.87885760023322 |
Real period |
R |
0.74079929824501 |
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 |
52038bj1 17346n1 |
Quadratic twists by: -3 -7 |