Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536r |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-4401589248 = -1 · 210 · 35 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,147,3069] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:49:1] |
Generators of the group modulo torsion |
j |
340736000/4298427 |
j-invariant |
L |
4.4023433978783 |
L(r)(E,1)/r! |
Ω |
1.0203107579757 |
Real period |
R |
2.1573541999167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536cr1 3192h1 76608cl1 |
Quadratic twists by: -4 8 -3 |