Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694cm |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.8554027370482E+24 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-54885542,-133757147347] |
[a1,a2,a3,a4,a6] |
Generators |
[-4873714678230414372:-178830648737805768467:1265740214304448] |
Generators of the group modulo torsion |
j |
2138362647385537/333926700822 |
j-invariant |
L |
10.30370736659 |
L(r)(E,1)/r! |
Ω |
0.056050481195376 |
Real period |
R |
22.978632751814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999834837 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154d3 9438e4 |
Quadratic twists by: -11 13 |