Atkin-Lehner |
2+ 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
79680u |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-130172339520 = -1 · 26 · 310 · 5 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 6 -4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6716,210330] |
[a1,a2,a3,a4,a6] |
Generators |
[49:36:1] |
Generators of the group modulo torsion |
j |
-523528663548736/2033942805 |
j-invariant |
L |
7.9822049470217 |
L(r)(E,1)/r! |
Ω |
1.0456766135916 |
Real period |
R |
1.5267062191834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79680b1 39840c2 |
Quadratic twists by: -4 8 |