Atkin-Lehner |
2- 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
17934q |
Isogeny class |
Conductor |
17934 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
352800 |
Modular degree for the optimal curve |
Δ |
-74134049544576 = -1 · 27 · 33 · 78 · 612 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 1 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2366407,1400156477] |
[a1,a2,a3,a4,a6] |
Generators |
[883:-198:1] |
Generators of the group modulo torsion |
j |
-254218836935368753/12859776 |
j-invariant |
L |
5.2960665218884 |
L(r)(E,1)/r! |
Ω |
0.45928309866854 |
Real period |
R |
0.82365422752509 |
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 |
53802n1 17934v1 |
Quadratic twists by: -3 -7 |