Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480ci |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
349706649600 = 218 · 32 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49280,4227072] |
[a1,a2,a3,a4,a6] |
Generators |
[74:990:1] |
Generators of the group modulo torsion |
j |
3231355012744321/85377600 |
j-invariant |
L |
4.8516375672265 |
L(r)(E,1)/r! |
Ω |
0.88986494839723 |
Real period |
R |
1.3630263715761 |
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 |
2310v2 73920gq2 55440dh2 92400gm2 |
Quadratic twists by: -4 8 -3 5 |