Atkin-Lehner |
2+ 3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720bd |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-38860800 = -1 · 211 · 3 · 52 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11+ -5 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,-300] |
[a1,a2,a3,a4,a6] |
Generators |
[20:90:1] |
Generators of the group modulo torsion |
j |
-2/18975 |
j-invariant |
L |
6.4276373731711 |
L(r)(E,1)/r! |
Ω |
0.93798972210721 |
Real period |
R |
1.7131417386491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30360ba1 |
Quadratic twists by: -4 |