Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
88752bd |
Isogeny class |
Conductor |
88752 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-423366293452750848 = -1 · 221 · 310 · 434 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 5 -6 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59784,-31826700] |
[a1,a2,a3,a4,a6] |
Generators |
[702:-16512:1] |
Generators of the group modulo torsion |
j |
-1687532377/30233088 |
j-invariant |
L |
5.9791146965903 |
L(r)(E,1)/r! |
Ω |
0.12835249380289 |
Real period |
R |
0.38819624267639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11094b1 88752v1 |
Quadratic twists by: -4 -43 |