Atkin-Lehner |
2- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
41300j |
Isogeny class |
Conductor |
41300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-41300000000 = -1 · 28 · 58 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -4 3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-708,-12412] |
[a1,a2,a3,a4,a6] |
Generators |
[184:2474:1] |
Generators of the group modulo torsion |
j |
-393040/413 |
j-invariant |
L |
5.8374654401077 |
L(r)(E,1)/r! |
Ω |
0.44414567952751 |
Real period |
R |
4.3810441102085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41300g1 |
Quadratic twists by: 5 |