Atkin-Lehner |
2- 7- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
88396c |
Isogeny class |
Conductor |
88396 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
110808 |
Modular degree for the optimal curve |
Δ |
-71919339184 = -1 · 24 · 72 · 113 · 413 |
Discriminant |
Eigenvalues |
2- 2 3 7- 11+ -5 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1409,-23638] |
[a1,a2,a3,a4,a6] |
Generators |
[726789:5423543:9261] |
Generators of the group modulo torsion |
j |
-394865164288/91733851 |
j-invariant |
L |
11.820574493233 |
L(r)(E,1)/r! |
Ω |
0.38485409875813 |
Real period |
R |
10.238143516682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88396b1 |
Quadratic twists by: -7 |