Atkin-Lehner |
2+ 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048x |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3575911256064 = 212 · 34 · 74 · 672 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4809,-92169] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:168:1] |
Generators of the group modulo torsion |
j |
3003436130752/873025209 |
j-invariant |
L |
8.0161131724241 |
L(r)(E,1)/r! |
Ω |
0.58604816681182 |
Real period |
R |
1.7097812155636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952365 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90048e2 45024b1 |
Quadratic twists by: -4 8 |