Atkin-Lehner |
2+ 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
107448c |
Isogeny class |
Conductor |
107448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-26002416 = -1 · 24 · 3 · 114 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -3 11- 2 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,-251] |
[a1,a2,a3,a4,a6] |
Generators |
[30:157:1] |
Generators of the group modulo torsion |
j |
-30976/111 |
j-invariant |
L |
5.5376710344696 |
L(r)(E,1)/r! |
Ω |
0.86873827040838 |
Real period |
R |
3.1871918220482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022713 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107448n1 |
Quadratic twists by: -11 |