Atkin-Lehner |
2- 3- 5+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
90270z |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
466944 |
Modular degree for the optimal curve |
Δ |
172560132000000 = 28 · 36 · 56 · 17 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-46973,-3855419] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:182:1] |
Generators of the group modulo torsion |
j |
15722891222170761/236708000000 |
j-invariant |
L |
7.8199621160605 |
L(r)(E,1)/r! |
Ω |
0.32458937039822 |
Real period |
R |
1.5057413358295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10030c1 |
Quadratic twists by: -3 |