Atkin-Lehner |
2+ 11- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
123728f |
Isogeny class |
Conductor |
123728 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
282624 |
Modular degree for the optimal curve |
Δ |
-281556101961728 = -1 · 211 · 114 · 193 · 372 |
Discriminant |
Eigenvalues |
2+ 1 -2 -3 11- 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4216,801812] |
[a1,a2,a3,a4,a6] |
Generators |
[1686:30932:27] [-28:814:1] |
Generators of the group modulo torsion |
j |
4045689528046/137478565411 |
j-invariant |
L |
11.312249822524 |
L(r)(E,1)/r! |
Ω |
0.41423461350191 |
Real period |
R |
0.28446665697226 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999954349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61864c1 |
Quadratic twists by: -4 |