Atkin-Lehner |
3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
47151b |
Isogeny class |
Conductor |
47151 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-114862352590323 = -1 · 310 · 137 · 31 |
Discriminant |
Eigenvalues |
0 3- 0 2 1 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-20280,-1225377] |
[a1,a2,a3,a4,a6] |
Generators |
[92482:9942773:8] |
Generators of the group modulo torsion |
j |
-262144000/32643 |
j-invariant |
L |
5.6299318637309 |
L(r)(E,1)/r! |
Ω |
0.19864925512748 |
Real period |
R |
7.0852667684375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15717b1 3627a1 |
Quadratic twists by: -3 13 |