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 |
-24375000000000000 = -1 · 212 · 3 · 516 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-126880,18990400] |
[a1,a2,a3,a4,a6] |
j |
-55150149867714721/5950927734375 |
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 |
195a8 12480cj8 9360bm8 15600bz8 |
Quadratic twists by: -4 8 -3 5 |