Atkin-Lehner |
2- 3- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
125424p |
Isogeny class |
Conductor |
125424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-5713940164608 = -1 · 212 · 36 · 134 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 13+ 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6096,216304] |
[a1,a2,a3,a4,a6] |
Generators |
[322:1521:8] |
Generators of the group modulo torsion |
j |
-8390176768/1913587 |
j-invariant |
L |
5.5231895970986 |
L(r)(E,1)/r! |
Ω |
0.72516462070005 |
Real period |
R |
1.9041158099408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999856532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7839b1 13936a1 |
Quadratic twists by: -4 -3 |