Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298s |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
274493768003136 = 26 · 310 · 116 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72441,7480237] |
[a1,a2,a3,a4,a6] |
Generators |
[-246:3343:1] |
Generators of the group modulo torsion |
j |
32553430057/212544 |
j-invariant |
L |
5.5366879455219 |
L(r)(E,1)/r! |
Ω |
0.55295972492843 |
Real period |
R |
5.0064115823679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29766bl1 738g1 |
Quadratic twists by: -3 -11 |