Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ci |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
977273536512 = 214 · 3 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 4 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3985,85681] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:392:1] |
Generators of the group modulo torsion |
j |
3631696/507 |
j-invariant |
L |
4.161587045739 |
L(r)(E,1)/r! |
Ω |
0.84571438962727 |
Real period |
R |
1.2301987440678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998219448 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304it2 7644g2 2496l2 |
Quadratic twists by: -4 8 -7 |