Atkin-Lehner |
2+ 3+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978j |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-29028384 = -1 · 25 · 32 · 72 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11- -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,17,-251] |
[a1,a2,a3,a4,a6] |
Generators |
[7:13:1] |
Generators of the group modulo torsion |
j |
10100279/592416 |
j-invariant |
L |
2.9884461536822 |
L(r)(E,1)/r! |
Ω |
1.0019171878602 |
Real period |
R |
0.74568192609977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54978p1 |
Quadratic twists by: -7 |