Atkin-Lehner |
2- 3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720bp |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-5372872445952000 = -1 · 215 · 34 · 53 · 113 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 11- -4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,40024,1700976] |
[a1,a2,a3,a4,a6] |
Generators |
[218:4554:1] [-12:1104:1] |
Generators of the group modulo torsion |
j |
1731069015117911/1311736437000 |
j-invariant |
L |
6.9652663840718 |
L(r)(E,1)/r! |
Ω |
0.27471644604006 |
Real period |
R |
0.35214422829205 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7590j2 |
Quadratic twists by: -4 |