Atkin-Lehner |
2- 5- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
121040x |
Isogeny class |
Conductor |
121040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
1053532160000 = 216 · 54 · 172 · 89 |
Discriminant |
Eigenvalues |
2- -2 5- 2 0 -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8040,270388] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:742:1] [36:170:1] |
Generators of the group modulo torsion |
j |
14034143923561/257210000 |
j-invariant |
L |
9.2855810019498 |
L(r)(E,1)/r! |
Ω |
0.87507319032882 |
Real period |
R |
1.3264006238809 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999969857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15130f1 |
Quadratic twists by: -4 |