Atkin-Lehner |
2- 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
117978m |
Isogeny class |
Conductor |
117978 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
456917994373279194 = 2 · 34 · 74 · 537 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1613829,-789106239] |
[a1,a2,a3,a4,a6] |
j |
20972058349033/20614986 |
j-invariant |
L |
0.5358213634915 |
L(r)(E,1)/r! |
Ω |
0.13395557854585 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2226e3 |
Quadratic twists by: 53 |