Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488dh |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
4297221389571264 = 26 · 32 · 714 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45684,-2059254] |
[a1,a2,a3,a4,a6] |
Generators |
[182853:1111690:729] |
Generators of the group modulo torsion |
j |
1400416996672/570715299 |
j-invariant |
L |
6.9597469605956 |
L(r)(E,1)/r! |
Ω |
0.33839959078418 |
Real period |
R |
10.283326505412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970293 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488ca1 51744v3 14784c1 |
Quadratic twists by: -4 8 -7 |