Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380i |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
202755579600 = 24 · 3 · 52 · 7 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1541,9066] |
[a1,a2,a3,a4,a6] |
Generators |
[1578:21675:8] |
Generators of the group modulo torsion |
j |
1048576/525 |
j-invariant |
L |
5.5110345814469 |
L(r)(E,1)/r! |
Ω |
0.88804144232774 |
Real period |
R |
3.1029151864759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047558 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
420d1 |
Quadratic twists by: 17 |