Atkin-Lehner |
2+ 7- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
76538i |
Isogeny class |
Conductor |
76538 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3685598466029890102 = 2 · 716 · 11 · 712 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11+ -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28965232,60008881218] |
[a1,a2,a3,a4,a6] |
j |
22843703499983411207625/31327070064598 |
j-invariant |
L |
1.6909445424817 |
L(r)(E,1)/r! |
Ω |
0.21136806649359 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10934a2 |
Quadratic twists by: -7 |