Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504bg |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6.4946950915751E+24 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-928905908,-10895969166564] |
[a1,a2,a3,a4,a6] |
Generators |
[-275088674791755633190440532143048517665179013918295306159461824458:375819839606157296778949135382494403097354273772042655028216863345:15593236954881320990517243327538250638499551747664357345714744] |
Generators of the group modulo torsion |
j |
195453211868372997250000/14320648682977923 |
j-invariant |
L |
5.3823003648961 |
L(r)(E,1)/r! |
Ω |
0.027346927084786 |
Real period |
R |
98.407772621196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18876i4 6864p4 |
Quadratic twists by: -4 -11 |