Atkin-Lehner |
2+ 3- 7+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
92862o |
Isogeny class |
Conductor |
92862 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-349564737369931776 = -1 · 220 · 39 · 73 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-186723,-42068075] |
[a1,a2,a3,a4,a6] |
j |
-987622422234687793/479512671289344 |
j-invariant |
L |
0.89788465564969 |
L(r)(E,1)/r! |
Ω |
0.11223559469947 |
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 |
30954o1 |
Quadratic twists by: -3 |