Atkin-Lehner |
2- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
27950k |
Isogeny class |
Conductor |
27950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-922568359375000000 = -1 · 26 · 516 · 133 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 2 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-159130,52313497] |
[a1,a2,a3,a4,a6] |
Generators |
[-421:6885:1] |
Generators of the group modulo torsion |
j |
-28520511877550889/59044375000000 |
j-invariant |
L |
6.6203808021213 |
L(r)(E,1)/r! |
Ω |
0.24867565574099 |
Real period |
R |
4.4370921514842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5590a1 |
Quadratic twists by: 5 |