Atkin-Lehner |
7- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49147b |
Isogeny class |
Conductor |
49147 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-410764777507 = -1 · 76 · 17 · 593 |
Discriminant |
Eigenvalues |
2 0 2 7- -3 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2009,-46391] |
[a1,a2,a3,a4,a6] |
j |
-7622111232/3491443 |
j-invariant |
L |
2.7908248478557 |
L(r)(E,1)/r! |
Ω |
0.34885310597579 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1003d1 |
Quadratic twists by: -7 |