Atkin-Lehner |
2- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87412f |
Isogeny class |
Conductor |
87412 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
40508888967248 = 24 · 13 · 417 |
Discriminant |
Eigenvalues |
2- 2 2 -4 0 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-298097,-62544718] |
[a1,a2,a3,a4,a6] |
Generators |
[221571132928152551805648:-5067182490759839987052155:240506309301226426368] |
Generators of the group modulo torsion |
j |
38545604608/533 |
j-invariant |
L |
10.632507872007 |
L(r)(E,1)/r! |
Ω |
0.20431977056788 |
Real period |
R |
34.692377357187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2132b1 |
Quadratic twists by: 41 |