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 |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
90002423808 = 220 · 33 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2220,37584] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:279:1] [-20:272:1] |
Generators of the group modulo torsion |
j |
170953875/12716 |
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 |
107712f1 26928x1 107712ct1 |
Quadratic twists by: -4 8 -3 |