Atkin-Lehner |
2+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
80960j |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-46399339233280 = -1 · 217 · 5 · 11 · 235 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 11- 4 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8692,100592] |
[a1,a2,a3,a4,a6] |
Generators |
[4:368:1] |
Generators of the group modulo torsion |
j |
554080592718/353998865 |
j-invariant |
L |
5.626099059677 |
L(r)(E,1)/r! |
Ω |
0.39717232308689 |
Real period |
R |
1.4165385481843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80960bg1 10120d1 |
Quadratic twists by: -4 8 |