Atkin-Lehner |
2+ 3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18270f |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
83335053312000 = 222 · 33 · 53 · 7 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43944,-3507392] |
[a1,a2,a3,a4,a6] |
j |
347587592236166043/3086483456000 |
j-invariant |
L |
1.979512014478 |
L(r)(E,1)/r! |
Ω |
0.32991866907966 |
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 |
18270bd1 91350dl1 127890i1 |
Quadratic twists by: -3 5 -7 |