Atkin-Lehner |
2- 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
104690be |
Isogeny class |
Conductor |
104690 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
2123553212907520 = 214 · 5 · 197 · 29 |
Discriminant |
Eigenvalues |
2- -1 5- 1 -1 -2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-55060,-4474155] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:789:1] |
Generators of the group modulo torsion |
j |
392383937161/45137920 |
j-invariant |
L |
8.8255353733064 |
L(r)(E,1)/r! |
Ω |
0.31400300037765 |
Real period |
R |
1.0038047133448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5510g1 |
Quadratic twists by: -19 |