Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712de |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
77697357941440512 = 217 · 39 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 11- 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-126252,10875600] |
[a1,a2,a3,a4,a6] |
Generators |
[-294:4752:1] [-38:3952:1] |
Generators of the group modulo torsion |
j |
86265529686/30116537 |
j-invariant |
L |
8.2107847823025 |
L(r)(E,1)/r! |
Ω |
0.31551925846774 |
Real period |
R |
2.1685904956798 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712j2 26928b2 107712cv2 |
Quadratic twists by: -4 8 -3 |