Atkin-Lehner |
2- 3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
23700i |
Isogeny class |
Conductor |
23700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-242650080000 = -1 · 28 · 35 · 54 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 2 1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,-23663] |
[a1,a2,a3,a4,a6] |
Generators |
[968:30099:1] |
Generators of the group modulo torsion |
j |
-1638400/1516563 |
j-invariant |
L |
4.1967881164815 |
L(r)(E,1)/r! |
Ω |
0.44563976319208 |
Real period |
R |
4.7087226759347 |
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 |
94800dm1 71100w1 23700m1 |
Quadratic twists by: -4 -3 5 |