Atkin-Lehner |
2- 3+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
104664g |
Isogeny class |
Conductor |
104664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
217121700096 = 28 · 34 · 76 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117812,-15525180] |
[a1,a2,a3,a4,a6] |
Generators |
[860:22770:1] |
Generators of the group modulo torsion |
j |
6004374601552/7209 |
j-invariant |
L |
5.1527521615291 |
L(r)(E,1)/r! |
Ω |
0.2576925698732 |
Real period |
R |
4.9989335561337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2136a1 |
Quadratic twists by: -7 |