Atkin-Lehner |
2+ 5- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
88330o |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
857472 |
Modular degree for the optimal curve |
Δ |
-1211796477358720 = -1 · 27 · 5 · 1110 · 73 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 11- -4 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-549343,156679026] |
[a1,a2,a3,a4,a6] |
Generators |
[1806:52269:8] |
Generators of the group modulo torsion |
j |
-706848773521/46720 |
j-invariant |
L |
3.3663290720325 |
L(r)(E,1)/r! |
Ω |
0.46141097391908 |
Real period |
R |
7.2957282510763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999829322 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88330bm1 |
Quadratic twists by: -11 |