Atkin-Lehner |
2- 5- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
79120s |
Isogeny class |
Conductor |
79120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4170240 |
Modular degree for the optimal curve |
Δ |
-1674179200000000 = -1 · 213 · 58 · 233 · 43 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -6 -6 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60961907,183204412594] |
[a1,a2,a3,a4,a6] |
Generators |
[4513:600:1] |
Generators of the group modulo torsion |
j |
-6117012899984274413660361/408735156250 |
j-invariant |
L |
4.1089953883604 |
L(r)(E,1)/r! |
Ω |
0.26087026154041 |
Real period |
R |
0.49222209210787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9890e1 |
Quadratic twists by: -4 |