Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480bu |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
573606332006400 = 216 · 310 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27896,-1364880] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:350:1] |
Generators of the group modulo torsion |
j |
586145095611769/140040608400 |
j-invariant |
L |
3.7001092142337 |
L(r)(E,1)/r! |
Ω |
0.3758174224079 |
Real period |
R |
2.4613741897108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2310f2 73920ii2 55440eu2 92400gc2 |
Quadratic twists by: -4 8 -3 5 |