Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400bf |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-40824000000000 = -1 · 212 · 36 · 59 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 1 1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67800,-6802000] |
[a1,a2,a3,a4,a6] |
Generators |
[20602180:566068300:24389] |
Generators of the group modulo torsion |
j |
-738763264/875 |
j-invariant |
L |
6.5016060798361 |
L(r)(E,1)/r! |
Ω |
0.14792149778769 |
Real period |
R |
10.988271105103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50400t1 100800nc1 5600r1 10080bt1 |
Quadratic twists by: -4 8 -3 5 |