Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
1230f |
Isogeny class |
Conductor |
1230 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-759738277429254810 = -1 · 2 · 332 · 5 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-894620,-328752745] |
[a1,a2,a3,a4,a6] |
j |
-79184385609230668294081/759738277429254810 |
j-invariant |
L |
2.4823406387639 |
L(r)(E,1)/r! |
Ω |
0.077573144961373 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9840z8 39360bb7 3690d8 6150n8 |
Quadratic twists by: -4 8 -3 5 |