Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
92778s |
Isogeny class |
Conductor |
92778 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7000518278557734 = 2 · 3 · 72 · 478 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3461549,2477424941] |
[a1,a2,a3,a4,a6] |
j |
425547480243313/649446 |
j-invariant |
L |
2.8608776755906 |
L(r)(E,1)/r! |
Ω |
0.35760970795919 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1974g2 |
Quadratic twists by: -47 |