Atkin-Lehner |
2- 3- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120060h |
Isogeny class |
Conductor |
120060 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-13420306800 = -1 · 24 · 37 · 52 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 -1 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,447,-4223] |
[a1,a2,a3,a4,a6] |
Generators |
[9:23:1] [11:45:1] |
Generators of the group modulo torsion |
j |
846834944/1150575 |
j-invariant |
L |
11.229709494185 |
L(r)(E,1)/r! |
Ω |
0.66973057307023 |
Real period |
R |
0.34932298249691 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999946402 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40020g1 |
Quadratic twists by: -3 |