Atkin-Lehner |
2- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48412g |
Isogeny class |
Conductor |
48412 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
-234899378200260592 = -1 · 24 · 78 · 135 · 193 |
Discriminant |
Eigenvalues |
2- 2 2 7- -4 13+ 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-229042,-48129927] |
[a1,a2,a3,a4,a6] |
Generators |
[192342612:9255037947:79507] |
Generators of the group modulo torsion |
j |
-705931834922752/124788235663 |
j-invariant |
L |
9.7022452755278 |
L(r)(E,1)/r! |
Ω |
0.10807551694459 |
Real period |
R |
14.962138743089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999913 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6916d1 |
Quadratic twists by: -7 |