Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110544cx |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-9988140331008 = -1 · 212 · 32 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -2 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5080,-62544] |
[a1,a2,a3,a4,a6] |
Generators |
[20:216:1] [26:294:1] |
Generators of the group modulo torsion |
j |
30080231/20727 |
j-invariant |
L |
6.9163486986364 |
L(r)(E,1)/r! |
Ω |
0.41016732313198 |
Real period |
R |
2.1077826997975 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999954855 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6909h1 15792bi1 |
Quadratic twists by: -4 -7 |