Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
27450bi |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-257343750 = -1 · 2 · 33 · 57 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 0 -3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2630,-51253] |
[a1,a2,a3,a4,a6] |
Generators |
[510:1283:8] |
Generators of the group modulo torsion |
j |
-4767078987/610 |
j-invariant |
L |
7.1611795569912 |
L(r)(E,1)/r! |
Ω |
0.33334211715237 |
Real period |
R |
5.3707431408357 |
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 |
27450f1 5490c1 |
Quadratic twists by: -3 5 |