Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190ci |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
7318080 |
Modular degree for the optimal curve |
Δ |
-6.5661710402585E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11+ 13+ -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,20176324,17412544656] |
[a1,a2,a3,a4,a6] |
Generators |
[9200790612:1204989263928:4826809] |
Generators of the group modulo torsion |
j |
385226073849504061/278469750000000 |
j-invariant |
L |
11.631550371699 |
L(r)(E,1)/r! |
Ω |
0.057836638834526 |
Real period |
R |
14.365029560708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190t1 |
Quadratic twists by: -11 |