Atkin-Lehner |
2- 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320ba |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
631479214080 = 213 · 34 · 5 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11456,474240] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:728:1] [-56:968:1] |
Generators of the group modulo torsion |
j |
40597630665409/154169730 |
j-invariant |
L |
7.0766094980116 |
L(r)(E,1)/r! |
Ω |
0.916672224471 |
Real period |
R |
1.9299727070098 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290z3 102960ek4 |
Quadratic twists by: -4 -3 |