Atkin-Lehner |
2- 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450bs |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
1678556250000 = 24 · 33 · 58 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-139713,20042031] |
[a1,a2,a3,a4,a6] |
j |
19302534392242249/107427600 |
j-invariant |
L |
2.9879745009982 |
L(r)(E,1)/r! |
Ω |
0.74699362524944 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350bi1 6090i1 |
Quadratic twists by: -3 5 |