Atkin-Lehner |
2+ 3- 7+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774i |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
219648 |
Modular degree for the optimal curve |
Δ |
29545278529536 = 213 · 38 · 7 · 113 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 11+ -1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9360,-228096] |
[a1,a2,a3,a4,a6] |
j |
124408435656961/40528502784 |
j-invariant |
L |
0.99594263286511 |
L(r)(E,1)/r! |
Ω |
0.49797130684192 |
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 |
27258bg1 |
Quadratic twists by: -3 |