Atkin-Lehner |
2- 7- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
127204c |
Isogeny class |
Conductor |
127204 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
614880 |
Modular degree for the optimal curve |
Δ |
-3904119793854896 = -1 · 24 · 710 · 114 · 59 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 11+ -6 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6403,-2997604] |
[a1,a2,a3,a4,a6] |
Generators |
[347:6413:1] |
Generators of the group modulo torsion |
j |
6422528/863819 |
j-invariant |
L |
4.0519343856046 |
L(r)(E,1)/r! |
Ω |
0.2085422173482 |
Real period |
R |
3.2383007245941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997638701 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127204a1 |
Quadratic twists by: -7 |