Atkin-Lehner |
2- 3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
90846cl |
Isogeny class |
Conductor |
90846 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-5360547741696 = -1 · 214 · 33 · 76 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -6 -1 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6257,-219103] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1108:1] |
Generators of the group modulo torsion |
j |
-8527173507/1687552 |
j-invariant |
L |
10.82322412772 |
L(r)(E,1)/r! |
Ω |
0.26556619618942 |
Real period |
R |
0.72777281971431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90846l1 1854e1 |
Quadratic twists by: -3 -7 |