Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480bd |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
8.4376814625757E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-560695800,-5110381564092] |
[a1,a2,a3,a4,a6] |
j |
19037313645387618625546168804/82399233032965368135 |
j-invariant |
L |
3.474848418467 |
L(r)(E,1)/r! |
Ω |
0.031025432307741 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9240g3 73920ex4 55440u4 92400c4 |
Quadratic twists by: -4 8 -3 5 |