Atkin-Lehner |
2- 7+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
90454g |
Isogeny class |
Conductor |
90454 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
1627920 |
Modular degree for the optimal curve |
Δ |
-697422488928256 = -1 · 217 · 78 · 13 · 71 |
Discriminant |
Eigenvalues |
2- -2 1 7+ 0 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4128055,3227900073] |
[a1,a2,a3,a4,a6] |
Generators |
[1174:-523:1] |
Generators of the group modulo torsion |
j |
-1349509118801071921/120979456 |
j-invariant |
L |
7.2971227895509 |
L(r)(E,1)/r! |
Ω |
0.38999179668417 |
Real period |
R |
1.1006449891073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90454p1 |
Quadratic twists by: -7 |