Atkin-Lehner |
2+ 3- 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
38130r |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
258509961000000 = 26 · 38 · 56 · 312 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -6 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15938,35156] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:712:1] [-120:532:1] |
Generators of the group modulo torsion |
j |
447698880677295001/258509961000000 |
j-invariant |
L |
7.3876883721381 |
L(r)(E,1)/r! |
Ω |
0.46970620078352 |
Real period |
R |
0.32767328632841 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114390bc1 |
Quadratic twists by: -3 |