Atkin-Lehner |
2- 3+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184bw |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4684486152192 = 212 · 3 · 72 · 11 · 294 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-138264,-19742160] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:14:1] [1306:45006:1] |
Generators of the group modulo torsion |
j |
71366476613135257/1143673377 |
j-invariant |
L |
9.3378874672618 |
L(r)(E,1)/r! |
Ω |
0.24758391796494 |
Real period |
R |
9.4290125360903 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002526 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6699f4 |
Quadratic twists by: -4 |