Atkin-Lehner |
2- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104690v |
Isogeny class |
Conductor |
104690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-10368912172400 = -1 · 24 · 52 · 197 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 0 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1737,-152833] |
[a1,a2,a3,a4,a6] |
Generators |
[385:7388:1] |
Generators of the group modulo torsion |
j |
12326391/220400 |
j-invariant |
L |
5.1704454374796 |
L(r)(E,1)/r! |
Ω |
0.35205282111258 |
Real period |
R |
1.8358202009393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999828068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5510c1 |
Quadratic twists by: -19 |