Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9240g |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
48 |
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] |
Generators |
[63861261902:-268362336671:4574296] |
Generators of the group modulo torsion |
j |
19037313645387618625546168804/82399233032965368135 |
j-invariant |
L |
3.9895161411147 |
L(r)(E,1)/r! |
Ω |
0.095093564541299 |
Real period |
R |
13.984529028011 |
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 |
18480bd3 73920cb4 27720bb4 46200cy4 |
Quadratic twists by: -4 8 -3 5 |