Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
27380c |
Isogeny class |
Conductor |
27380 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
831755134688492800 = 28 · 52 · 379 |
Discriminant |
Eigenvalues |
2- 1 5- -1 -3 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-248245,-18550457] |
[a1,a2,a3,a4,a6] |
Generators |
[241878:4305505:343] |
Generators of the group modulo torsion |
j |
2575826944/1266325 |
j-invariant |
L |
6.5215316095691 |
L(r)(E,1)/r! |
Ω |
0.22487014893123 |
Real period |
R |
3.6251652567964 |
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 |
109520t1 740b1 |
Quadratic twists by: -4 37 |