Atkin-Lehner |
2- 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720cb |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-13142025015015600 = -1 · 24 · 36 · 52 · 115 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,29879,5154830] |
[a1,a2,a3,a4,a6] |
Generators |
[6230:491970:1] |
Generators of the group modulo torsion |
j |
184368774577012736/821376563438475 |
j-invariant |
L |
8.0541253755209 |
L(r)(E,1)/r! |
Ω |
0.28531067640616 |
Real period |
R |
4.7048860776326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000225 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15180f1 |
Quadratic twists by: -4 |