Atkin-Lehner |
3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975r |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
127359319531640625 = 32 · 58 · 118 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-151313,14716406] |
[a1,a2,a3,a4,a6] |
Generators |
[350:2012:1] |
Generators of the group modulo torsion |
j |
13841287201/4601025 |
j-invariant |
L |
4.450315501149 |
L(r)(E,1)/r! |
Ω |
0.30385242855538 |
Real period |
R |
3.6615762991911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000219645 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23595o2 10725b2 |
Quadratic twists by: 5 -11 |