Atkin-Lehner |
3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
108927d |
Isogeny class |
Conductor |
108927 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
251136 |
Modular degree for the optimal curve |
Δ |
-949831784811 = -1 · 36 · 74 · 134 · 19 |
Discriminant |
Eigenvalues |
-2 3- 1 7+ 4 13+ -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8967,330174] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:760:1] |
Generators of the group modulo torsion |
j |
-45555994624/542659 |
j-invariant |
L |
3.6952605020777 |
L(r)(E,1)/r! |
Ω |
0.88536423344973 |
Real period |
R |
1.0434294530185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12103a1 108927y1 |
Quadratic twists by: -3 -7 |