Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680br |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1359992381529600 = -1 · 29 · 312 · 52 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39200,-3461448] |
[a1,a2,a3,a4,a6] |
Generators |
[52494:246905:216] |
Generators of the group modulo torsion |
j |
-13011370125062408/2656235120175 |
j-invariant |
L |
5.8179339081944 |
L(r)(E,1)/r! |
Ω |
0.16780543666101 |
Real period |
R |
8.6676779131301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680cf2 87360gb3 |
Quadratic twists by: -4 8 |