Atkin-Lehner |
2+ 3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
90846l |
Isogeny class |
Conductor |
90846 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-3907839303696384 = -1 · 214 · 39 · 76 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 6 -1 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-56310,5972084] |
[a1,a2,a3,a4,a6] |
Generators |
[-260:1858:1] [37:1966:1] |
Generators of the group modulo torsion |
j |
-8527173507/1687552 |
j-invariant |
L |
8.3862658446338 |
L(r)(E,1)/r! |
Ω |
0.42261488922443 |
Real period |
R |
2.480469234054 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90846cl1 1854a1 |
Quadratic twists by: -3 -7 |