Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712ce |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-110071257083707392 = -1 · 215 · 38 · 116 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,63060,14752784] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:3564:1] [-20:3672:1] |
Generators of the group modulo torsion |
j |
1160935651000/4607830161 |
j-invariant |
L |
11.405313161379 |
L(r)(E,1)/r! |
Ω |
0.23794728098321 |
Real period |
R |
1.9971708851169 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989837 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712be2 53856i2 35904c2 |
Quadratic twists by: -4 8 -3 |