Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694cm |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
66030718361871978 = 2 · 33 · 117 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-842172042,-9407311901811] |
[a1,a2,a3,a4,a6] |
Generators |
[48520461183411998840059669863110897939621392960818519245062:-24956798427946163458545588744045186331664590937586506087851587:181501017386519766262153006337107538775803485533525512] |
Generators of the group modulo torsion |
j |
7725203825376001537/7722 |
j-invariant |
L |
10.30370736659 |
L(r)(E,1)/r! |
Ω |
0.028025240597688 |
Real period |
R |
91.914531007254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154d4 9438e3 |
Quadratic twists by: -11 13 |