Atkin-Lehner |
2+ 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
72720o |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-14601178499760 = -1 · 24 · 311 · 5 · 1013 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -1 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13998,-663433] |
[a1,a2,a3,a4,a6] |
Generators |
[1627:65448:1] |
Generators of the group modulo torsion |
j |
-26006036555776/1251815715 |
j-invariant |
L |
4.9562409485152 |
L(r)(E,1)/r! |
Ω |
0.21884433968547 |
Real period |
R |
1.8872778692797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984846 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36360f1 24240d1 |
Quadratic twists by: -4 -3 |