Atkin-Lehner |
2+ 3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
65550w |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
844800 |
Modular degree for the optimal curve |
Δ |
-66220314955500000 = -1 · 25 · 3 · 56 · 193 · 235 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 6 -7 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-58426,13516748] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:4396:1] |
Generators of the group modulo torsion |
j |
-1411599396089233/4238100157152 |
j-invariant |
L |
5.9939830734666 |
L(r)(E,1)/r! |
Ω |
0.30627530074214 |
Real period |
R |
1.9570572810294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000497 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2622a1 |
Quadratic twists by: 5 |