Atkin-Lehner |
2- 3- 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
120780x |
Isogeny class |
Conductor |
120780 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-195663600 = -1 · 24 · 36 · 52 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11+ 2 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,123,421] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:5:1] |
Generators of the group modulo torsion |
j |
17643776/16775 |
j-invariant |
L |
8.8100691286927 |
L(r)(E,1)/r! |
Ω |
1.1733751793827 |
Real period |
R |
1.251385647318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999753701 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13420d1 |
Quadratic twists by: -3 |