Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712db |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
29118431232 = 219 · 33 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34860,2505168] |
[a1,a2,a3,a4,a6] |
Generators |
[42:1056:1] [172:1264:1] |
Generators of the group modulo torsion |
j |
661914925875/4114 |
j-invariant |
L |
10.216861437719 |
L(r)(E,1)/r! |
Ω |
1.0507842723426 |
Real period |
R |
2.4307704504192 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712f2 26928x2 107712ct2 |
Quadratic twists by: -4 8 -3 |