Atkin-Lehner |
2+ 5+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123970a |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15724800 |
Modular degree for the optimal curve |
Δ |
-6.0132357724238E+21 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7+ 11- -5 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4487705,-729051779] |
[a1,a2,a3,a4,a6] |
j |
1733852862899366391/1043095116800000 |
j-invariant |
L |
0.4695842789815 |
L(r)(E,1)/r! |
Ω |
0.078263836464796 |
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 |
123970p1 |
Quadratic twists by: -7 |