Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106134bk |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-25172902875456 = -1 · 26 · 33 · 79 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5955,298750] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:554:1] [-73:624:1] |
Generators of the group modulo torsion |
j |
-549754417/592704 |
j-invariant |
L |
8.601718922309 |
L(r)(E,1)/r! |
Ω |
0.60965769903429 |
Real period |
R |
0.58787899444429 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000913 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15162h1 106134ca1 |
Quadratic twists by: -7 -19 |