Atkin-Lehner |
3- 7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
117453w |
Isogeny class |
Conductor |
117453 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
998400 |
Modular degree for the optimal curve |
Δ |
-1434649885332531 = -1 · 3 · 78 · 17 · 474 |
Discriminant |
Eigenvalues |
2 3- 1 7- -5 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-73320,7831457] |
[a1,a2,a3,a4,a6] |
j |
-370517533364224/12194322819 |
j-invariant |
L |
3.8143615733664 |
L(r)(E,1)/r! |
Ω |
0.47679545405992 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16779d1 |
Quadratic twists by: -7 |