Atkin-Lehner |
3+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
2451b |
Isogeny class |
Conductor |
2451 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-6846036182067 = -1 · 3 · 192 · 436 |
Discriminant |
Eigenvalues |
1 3+ 0 4 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31455,2137884] |
[a1,a2,a3,a4,a6] |
j |
-3442027642056789625/6846036182067 |
j-invariant |
L |
2.2470314759041 |
L(r)(E,1)/r! |
Ω |
0.74901049196802 |
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 |
39216bd2 7353j2 61275h2 120099t2 |
Quadratic twists by: -4 -3 5 -7 |