Atkin-Lehner |
2- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
80752j |
Isogeny class |
Conductor |
80752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-8103624704 = -1 · 215 · 74 · 103 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 3 -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1584,-24128] |
[a1,a2,a3,a4,a6] |
j |
-44720977/824 |
j-invariant |
L |
1.5117963396923 |
L(r)(E,1)/r! |
Ω |
0.37794908724626 |
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 |
10094g1 80752o1 |
Quadratic twists by: -4 -7 |