Atkin-Lehner |
2- 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
49312b |
Isogeny class |
Conductor |
49312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96096 |
Modular degree for the optimal curve |
Δ |
-634777892032 = -1 · 26 · 236 · 67 |
Discriminant |
Eigenvalues |
2- 2 4 4 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3966,104828] |
[a1,a2,a3,a4,a6] |
j |
-107822989164736/9918404563 |
j-invariant |
L |
8.0224582643284 |
L(r)(E,1)/r! |
Ω |
0.89138425174332 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49312a1 98624d2 |
Quadratic twists by: -4 8 |