Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960cc |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2119680 |
Modular degree for the optimal curve |
Δ |
-3897255817888358400 = -1 · 213 · 35 · 52 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -1 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,393400,-1395600] |
[a1,a2,a3,a4,a6] |
j |
20991479/12150 |
j-invariant |
L |
1.7736227368826 |
L(r)(E,1)/r! |
Ω |
0.1478019009613 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870s1 126960bi1 |
Quadratic twists by: -4 -23 |