Atkin-Lehner |
2- 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720ct |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-10072719360 = -1 · 215 · 35 · 5 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1680,26388] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-48:1] |
Generators of the group modulo torsion |
j |
-128100283921/2459160 |
j-invariant |
L |
8.5673070285196 |
L(r)(E,1)/r! |
Ω |
1.2891404702155 |
Real period |
R |
0.33228756781909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7590v1 |
Quadratic twists by: -4 |