Atkin-Lehner |
2+ 3- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
50904b |
Isogeny class |
Conductor |
50904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13216 |
Modular degree for the optimal curve |
Δ |
-8246448 = -1 · 24 · 36 · 7 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18,-135] |
[a1,a2,a3,a4,a6] |
Generators |
[4:1:1] |
Generators of the group modulo torsion |
j |
55296/707 |
j-invariant |
L |
3.9933746077822 |
L(r)(E,1)/r! |
Ω |
1.1428494141483 |
Real period |
R |
1.7471132059392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000164 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101808g1 5656h1 |
Quadratic twists by: -4 -3 |