Atkin-Lehner |
2+ 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
90846x |
Isogeny class |
Conductor |
90846 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1005312 |
Modular degree for the optimal curve |
Δ |
-273928680079939584 = -1 · 211 · 37 · 78 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -1 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-182583,39235293] |
[a1,a2,a3,a4,a6] |
Generators |
[-339:8049:1] |
Generators of the group modulo torsion |
j |
-160174810033/65181696 |
j-invariant |
L |
6.5916283135946 |
L(r)(E,1)/r! |
Ω |
0.29017927488517 |
Real period |
R |
2.8394637742723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001435 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30282bf1 90846bt1 |
Quadratic twists by: -3 -7 |