Atkin-Lehner |
2- 5+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
56650t |
Isogeny class |
Conductor |
56650 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-18180245462500000 = -1 · 25 · 58 · 113 · 1033 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 11- 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-41963,-7299719] |
[a1,a2,a3,a4,a6] |
Generators |
[455:8022:1] |
Generators of the group modulo torsion |
j |
-523002686860009/1163535709600 |
j-invariant |
L |
14.505604357195 |
L(r)(E,1)/r! |
Ω |
0.15607472230005 |
Real period |
R |
1.549002100125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11330f1 |
Quadratic twists by: 5 |