Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44400ba |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4769280 |
Modular degree for the optimal curve |
Δ |
-3.9098751595315E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -5 -3 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72927008,-239684575488] |
[a1,a2,a3,a4,a6] |
j |
-670206957616537490521/6109179936768 |
j-invariant |
L |
1.8598577055336 |
L(r)(E,1)/r! |
Ω |
0.025831357024407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5550bg1 1776k1 |
Quadratic twists by: -4 5 |