Atkin-Lehner |
2+ 3- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74778q |
Isogeny class |
Conductor |
74778 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5990400 |
Modular degree for the optimal curve |
Δ |
-3.1293382395238E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1606520,2803096646] |
[a1,a2,a3,a4,a6] |
Generators |
[11359259987181011573172598044299520705526635:-481332293032865322969814801301093497989437087:9037813685431857899316755700151622545875] |
Generators of the group modulo torsion |
j |
-258836561772597073/1766429854531584 |
j-invariant |
L |
7.7653269306668 |
L(r)(E,1)/r! |
Ω |
0.12218765358833 |
Real period |
R |
63.55246788783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996205 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6798n1 |
Quadratic twists by: -11 |