Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9240be |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1770975360000 = -1 · 210 · 33 · 54 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3024,3024] |
[a1,a2,a3,a4,a6] |
Generators |
[24:300:1] |
Generators of the group modulo torsion |
j |
2985557859644/1729468125 |
j-invariant |
L |
5.146684352603 |
L(r)(E,1)/r! |
Ω |
0.50210473748909 |
Real period |
R |
0.85418505481884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18480a4 73920bm3 27720t3 46200c3 |
Quadratic twists by: -4 8 -3 5 |