Atkin-Lehner |
2+ 7- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
17374b |
Isogeny class |
Conductor |
17374 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
65293166575616 = 230 · 72 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12189,-347395] |
[a1,a2,a3,a4,a6] |
Generators |
[22719459:-39107237:185193] |
Generators of the group modulo torsion |
j |
200301228988707673/65293166575616 |
j-invariant |
L |
6.1946073683795 |
L(r)(E,1)/r! |
Ω |
0.4661636530416 |
Real period |
R |
13.288482119876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121618h1 |
Quadratic twists by: -7 |