Atkin-Lehner |
2+ 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190n |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2882880 |
Modular degree for the optimal curve |
Δ |
-2.7126516185683E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6944797,-7479615491] |
[a1,a2,a3,a4,a6] |
Generators |
[3073:12961:1] |
Generators of the group modulo torsion |
j |
-172806866567322361/12654720000000 |
j-invariant |
L |
4.2191703059023 |
L(r)(E,1)/r! |
Ω |
0.04630514051769 |
Real period |
R |
6.5083337226688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190cc1 |
Quadratic twists by: -11 |