Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480c |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
913524955266000 = 24 · 3 · 53 · 712 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40591,-2778170] |
[a1,a2,a3,a4,a6] |
Generators |
[68200843511682:-38496975193924:296340742963] |
Generators of the group modulo torsion |
j |
462278484549842944/57095309704125 |
j-invariant |
L |
3.9753139486955 |
L(r)(E,1)/r! |
Ω |
0.33907488978818 |
Real period |
R |
23.447999650926 |
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 |
9240bg1 73920hv1 55440bi1 92400cl1 |
Quadratic twists by: -4 8 -3 5 |