Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760cm |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2017528639261520 = 24 · 5 · 76 · 118 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23726325,-44475067228] |
[a1,a2,a3,a4,a6] |
Generators |
[-261828224516176424124:591465278204940223:93114901321939008] |
Generators of the group modulo torsion |
j |
52112158467655991296/71177645 |
j-invariant |
L |
10.969410493377 |
L(r)(E,1)/r! |
Ω |
0.068405643771481 |
Real period |
R |
26.72637784452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16940f3 6160i3 |
Quadratic twists by: -4 -11 |