Atkin-Lehner |
2+ 3- 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350br |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1028352 |
Modular degree for the optimal curve |
Δ |
-186160942080000 = -1 · 213 · 32 · 54 · 194 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 3 -5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1037251,-406692802] |
[a1,a2,a3,a4,a6] |
Generators |
[14414606:56781739:12167] |
Generators of the group modulo torsion |
j |
-197467068776537844025/297857507328 |
j-invariant |
L |
6.5785721310896 |
L(r)(E,1)/r! |
Ω |
0.074799484412836 |
Real period |
R |
10.993678946591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924721 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88350ca1 |
Quadratic twists by: 5 |