Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10890n |
Isogeny class |
Conductor |
10890 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
659254039800468750 = 2 · 39 · 57 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- 3 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-422010,-97916450] |
[a1,a2,a3,a4,a6] |
Generators |
[-3386:19117:8] |
Generators of the group modulo torsion |
j |
53189206081/4218750 |
j-invariant |
L |
3.5817485911429 |
L(r)(E,1)/r! |
Ω |
0.18825563528111 |
Real period |
R |
3.1709972327385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87120er1 3630r1 54450gb1 10890bt1 |
Quadratic twists by: -4 -3 5 -11 |