Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480cz |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-55084417597440 = -1 · 214 · 38 · 5 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8680,-172140] |
[a1,a2,a3,a4,a6] |
Generators |
[28:306:1] |
Generators of the group modulo torsion |
j |
17655210697319/13448344140 |
j-invariant |
L |
6.4917218690816 |
L(r)(E,1)/r! |
Ω |
0.35108017940091 |
Real period |
R |
2.311338780275 |
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 |
2310d4 73920dy3 55440cr3 92400ej3 |
Quadratic twists by: -4 8 -3 5 |