Atkin-Lehner |
2+ 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
79680b |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
4 |
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 |
[113355:1148210:729] |
Generators of the group modulo torsion |
j |
-523528663548736/2033942805 |
j-invariant |
L |
2.5585355479636 |
L(r)(E,1)/r! |
Ω |
0.2636243432329 |
Real period |
R |
9.70523250818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008099 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79680u1 39840m2 |
Quadratic twists by: -4 8 |