Atkin-Lehner |
2- 3- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
25308c |
Isogeny class |
Conductor |
25308 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-393196425984 = -1 · 28 · 310 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 3- -1 1 3 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6168,-188876] |
[a1,a2,a3,a4,a6] |
Generators |
[5828:4329:64] |
Generators of the group modulo torsion |
j |
-139055865856/2106891 |
j-invariant |
L |
5.151030679735 |
L(r)(E,1)/r! |
Ω |
0.26911777933158 |
Real period |
R |
4.7851081156073 |
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 |
101232bh1 8436b1 |
Quadratic twists by: -4 -3 |