Atkin-Lehner |
2+ 3+ 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
65550n |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-58995000000 = -1 · 26 · 33 · 57 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -5 -3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10125,388125] |
[a1,a2,a3,a4,a6] |
Generators |
[50:75:1] |
Generators of the group modulo torsion |
j |
-7347774183121/3775680 |
j-invariant |
L |
3.321825132036 |
L(r)(E,1)/r! |
Ω |
1.0969120177151 |
Real period |
R |
0.37854279541383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13110bs1 |
Quadratic twists by: 5 |