Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3120r |
Isogeny class |
Conductor |
3120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-751777432473600 = -1 · 212 · 32 · 52 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9680,1264000] |
[a1,a2,a3,a4,a6] |
j |
24487529386319/183539412225 |
j-invariant |
L |
1.4741163178477 |
L(r)(E,1)/r! |
Ω |
0.36852907946193 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
195a6 12480cj6 9360bm6 15600bz6 |
Quadratic twists by: -4 8 -3 5 |