Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400f |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-945000000000 = -1 · 29 · 33 · 510 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,-56250] |
[a1,a2,a3,a4,a6] |
Generators |
[69:378:1] |
Generators of the group modulo torsion |
j |
-5400/7 |
j-invariant |
L |
4.6228322104363 |
L(r)(E,1)/r! |
Ω |
0.34601162652929 |
Real period |
R |
3.3400844480095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50400cl1 100800l1 50400ch1 50400cu1 |
Quadratic twists by: -4 8 -3 5 |