Atkin-Lehner |
2- 7+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
123662ba |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-61922799993030592 = -1 · 26 · 7 · 1110 · 732 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,54992,10899648] |
[a1,a2,a3,a4,a6] |
j |
10381632518375/34953806272 |
j-invariant |
L |
2.9756140829751 |
L(r)(E,1)/r! |
Ω |
0.24796771256065 |
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 |
11242e1 |
Quadratic twists by: -11 |