Atkin-Lehner |
2- 3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350bu |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-5397656250 = -1 · 2 · 3 · 58 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -1 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-763,8531] |
[a1,a2,a3,a4,a6] |
j |
-125768785/13818 |
j-invariant |
L |
2.6416812222639 |
L(r)(E,1)/r! |
Ω |
1.3208406110453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49350x1 |
Quadratic twists by: 5 |