Atkin-Lehner |
2- 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
90846cw |
Isogeny class |
Conductor |
90846 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
2215328403456 = 212 · 37 · 74 · 103 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -4 -3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21398,1207973] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:835:1] [9:-1013:1] |
Generators of the group modulo torsion |
j |
619019807161/1265664 |
j-invariant |
L |
15.234520213708 |
L(r)(E,1)/r! |
Ω |
0.82302290527885 |
Real period |
R |
0.128544756874 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30282i1 90846da1 |
Quadratic twists by: -3 -7 |