Atkin-Lehner |
2- 3- 5- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350cy |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-19183343616000 = -1 · 214 · 33 · 53 · 192 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5598,-265788] |
[a1,a2,a3,a4,a6] |
Generators |
[132:1074:1] |
Generators of the group modulo torsion |
j |
-155209117748021/153466748928 |
j-invariant |
L |
12.322172506481 |
L(r)(E,1)/r! |
Ω |
0.26535112508539 |
Real period |
R |
0.55282422414283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88350u1 |
Quadratic twists by: 5 |