Atkin-Lehner |
2- 7+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
95312i |
Isogeny class |
Conductor |
95312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
148992 |
Modular degree for the optimal curve |
Δ |
-1655948686448 = -1 · 24 · 74 · 23 · 374 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ 6 -5 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6734,223783] |
[a1,a2,a3,a4,a6] |
Generators |
[161:1813:1] |
Generators of the group modulo torsion |
j |
-2110996711789312/103496792903 |
j-invariant |
L |
2.9936996161829 |
L(r)(E,1)/r! |
Ω |
0.83291584200075 |
Real period |
R |
0.44928002783803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999824172 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23828e1 |
Quadratic twists by: -4 |