Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18032m |
Isogeny class |
Conductor |
18032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-5464846874368 = -1 · 28 · 79 · 232 |
Discriminant |
Eigenvalues |
2+ 2 -4 7- -4 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4100,-50784] |
[a1,a2,a3,a4,a6] |
Generators |
[2424:27440:27] |
Generators of the group modulo torsion |
j |
253012016/181447 |
j-invariant |
L |
5.0782250064178 |
L(r)(E,1)/r! |
Ω |
0.42886434218294 |
Real period |
R |
2.9602746760021 |
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 |
9016e1 72128cf1 2576d1 |
Quadratic twists by: -4 8 -7 |