Atkin-Lehner |
2+ 3+ 11- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682g |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-28285006464 = -1 · 27 · 33 · 114 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 3 0 11- 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1554348,-745494192] |
[a1,a2,a3,a4,a6] |
Generators |
[32478475:1088770487:15625] |
Generators of the group modulo torsion |
j |
-15381719285480920056411/1047592832 |
j-invariant |
L |
6.8016898396703 |
L(r)(E,1)/r! |
Ω |
0.067605570380826 |
Real period |
R |
12.576052962478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999563754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110682z1 |
Quadratic twists by: -3 |