Atkin-Lehner |
2- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104690x |
Isogeny class |
Conductor |
104690 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
673920 |
Modular degree for the optimal curve |
Δ |
360629411840 = 213 · 5 · 192 · 293 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -3 7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-211221,-37452037] |
[a1,a2,a3,a4,a6] |
Generators |
[-193689:98468:729] |
Generators of the group modulo torsion |
j |
2886874616802184489/998973440 |
j-invariant |
L |
15.675773776691 |
L(r)(E,1)/r! |
Ω |
0.22269746805858 |
Real period |
R |
5.4146495802651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000859 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104690c1 |
Quadratic twists by: -19 |