Atkin-Lehner |
2+ 5- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
124270o |
Isogeny class |
Conductor |
124270 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
326247968742110 = 2 · 5 · 177 · 433 |
Discriminant |
Eigenvalues |
2+ 2 5- 1 0 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19802,620414] |
[a1,a2,a3,a4,a6] |
Generators |
[-4155:8291:27] |
Generators of the group modulo torsion |
j |
35578826569/13516190 |
j-invariant |
L |
9.3404562371312 |
L(r)(E,1)/r! |
Ω |
0.49458510830847 |
Real period |
R |
1.5737864714016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7310c1 |
Quadratic twists by: 17 |