Atkin-Lehner |
5+ 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39775c |
Isogeny class |
Conductor |
39775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27840 |
Modular degree for the optimal curve |
Δ |
-15537109375 = -1 · 510 · 37 · 43 |
Discriminant |
Eigenvalues |
-1 0 5+ -4 -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,620,622] |
[a1,a2,a3,a4,a6] |
j |
1689410871/994375 |
j-invariant |
L |
0.75488795838381 |
L(r)(E,1)/r! |
Ω |
0.75488795831475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7955b1 |
Quadratic twists by: 5 |