Atkin-Lehner |
2- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11956c |
Isogeny class |
Conductor |
11956 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
47853725102848 = 28 · 77 · 613 |
Discriminant |
Eigenvalues |
2- -1 0 7- 3 -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71948,7444648] |
[a1,a2,a3,a4,a6] |
Generators |
[117:784:1] |
Generators of the group modulo torsion |
j |
1367595682000/1588867 |
j-invariant |
L |
3.5195643956653 |
L(r)(E,1)/r! |
Ω |
0.63400724169599 |
Real period |
R |
2.7756499959293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47824i2 107604l2 1708a2 |
Quadratic twists by: -4 -3 -7 |