Atkin-Lehner |
2+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116032k |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-14481906200215552 = -1 · 218 · 79 · 372 |
Discriminant |
Eigenvalues |
2+ 0 4 7- -4 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16268,5844720] |
[a1,a2,a3,a4,a6] |
Generators |
[38990:7698880:1] |
Generators of the group modulo torsion |
j |
-15438249/469567 |
j-invariant |
L |
8.6451326555818 |
L(r)(E,1)/r! |
Ω |
0.33004907312269 |
Real period |
R |
6.5483690950254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116032bh1 1813a1 16576g1 |
Quadratic twists by: -4 8 -7 |