Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712cz |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1025183858688 = 214 · 39 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5724,159408] |
[a1,a2,a3,a4,a6] |
Generators |
[34:64:1] |
Generators of the group modulo torsion |
j |
64314864/3179 |
j-invariant |
L |
8.3730931701458 |
L(r)(E,1)/r! |
Ω |
0.86546532280578 |
Real period |
R |
2.4186680134517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712b2 26928a2 107712cx2 |
Quadratic twists by: -4 8 -3 |