Atkin-Lehner |
2- 3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88920w |
Isogeny class |
Conductor |
88920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-3081611520000 = -1 · 211 · 33 · 54 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 1 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14187,-655866] |
[a1,a2,a3,a4,a6] |
Generators |
[138:120:1] |
Generators of the group modulo torsion |
j |
-5710862474406/55729375 |
j-invariant |
L |
6.2533266447647 |
L(r)(E,1)/r! |
Ω |
0.21859699611586 |
Real period |
R |
3.5758306120963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88920a1 |
Quadratic twists by: -3 |