Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
110544cy |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
8629753245990912 = 217 · 35 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 -1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129768,-17472204] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:294:1] |
Generators of the group modulo torsion |
j |
10234947625/365472 |
j-invariant |
L |
8.1371437745124 |
L(r)(E,1)/r! |
Ω |
0.25209232464611 |
Real period |
R |
1.0759475748464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13818a1 110544cg1 |
Quadratic twists by: -4 -7 |