Atkin-Lehner |
2+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
64600o |
Isogeny class |
Conductor |
64600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-3643843750000 = -1 · 24 · 59 · 17 · 193 |
Discriminant |
Eigenvalues |
2+ 2 5- 3 -4 3 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3292,55037] |
[a1,a2,a3,a4,a6] |
Generators |
[-366:2375:27] |
Generators of the group modulo torsion |
j |
126217984/116603 |
j-invariant |
L |
10.105904027148 |
L(r)(E,1)/r! |
Ω |
0.51572462709367 |
Real period |
R |
1.6329619038637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129200x1 64600bc1 |
Quadratic twists by: -4 5 |