Atkin-Lehner |
2+ 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630bt |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
7336779878400 = 212 · 3 · 52 · 77 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16588,810506] |
[a1,a2,a3,a4,a6] |
j |
4290223486249/62361600 |
j-invariant |
L |
2.9828614814409 |
L(r)(E,1)/r! |
Ω |
0.74571537039666 |
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 |
127890fg1 6090a1 |
Quadratic twists by: -3 -7 |