Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
49104bv |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-12840007469211648 = -1 · 213 · 314 · 11 · 313 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 11- 4 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42051,-6382654] |
[a1,a2,a3,a4,a6] |
Generators |
[409:6696:1] |
Generators of the group modulo torsion |
j |
-2754008142913/4300092522 |
j-invariant |
L |
5.146348734513 |
L(r)(E,1)/r! |
Ω |
0.15803025588201 |
Real period |
R |
1.3568996397189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6138e1 16368o1 |
Quadratic twists by: -4 -3 |