Atkin-Lehner |
2+ 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103400o |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59520 |
Modular degree for the optimal curve |
Δ |
3231250000 = 24 · 58 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5- 0 11- -7 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1083,-13088] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:11:1] |
Generators of the group modulo torsion |
j |
22497280/517 |
j-invariant |
L |
4.0000190252585 |
L(r)(E,1)/r! |
Ω |
0.83332949625162 |
Real period |
R |
2.4000224683886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999902722 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103400bg1 |
Quadratic twists by: 5 |