Atkin-Lehner |
2- 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
51912t |
Isogeny class |
Conductor |
51912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
-443250291391488 = -1 · 210 · 36 · 78 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57315,5377678] |
[a1,a2,a3,a4,a6] |
Generators |
[66:1372:1] |
Generators of the group modulo torsion |
j |
-27893378330500/593774503 |
j-invariant |
L |
6.331263073217 |
L(r)(E,1)/r! |
Ω |
0.52837591762662 |
Real period |
R |
1.4978121783178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103824i1 5768d1 |
Quadratic twists by: -4 -3 |