Atkin-Lehner |
2- 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30360y |
Isogeny class |
Conductor |
30360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
81645010595280 = 24 · 32 · 5 · 118 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12815,354720] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:627:1] |
Generators of the group modulo torsion |
j |
14547670307977216/5102813162205 |
j-invariant |
L |
5.2561903559018 |
L(r)(E,1)/r! |
Ω |
0.55857433107698 |
Real period |
R |
2.3525026408604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60720ba1 91080j1 |
Quadratic twists by: -4 -3 |