Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
23850bc |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-19318500000 = -1 · 25 · 36 · 56 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -5 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6192,189216] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-9:1] |
Generators of the group modulo torsion |
j |
-2305199161/1696 |
j-invariant |
L |
4.1187074575051 |
L(r)(E,1)/r! |
Ω |
1.2096646493223 |
Real period |
R |
1.7024170541037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2650i1 954i1 |
Quadratic twists by: -3 5 |