Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
111630p |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-5.0518711121043E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 0 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-268999103251,53699897340710513] |
[a1,a2,a3,a4,a6] |
Generators |
[28014327225499119:750394248390057608:96260823287] |
Generators of the group modulo torsion |
j |
-184080461171028938713189/4320 |
j-invariant |
L |
9.5317376875168 |
L(r)(E,1)/r! |
Ω |
0.047687816120592 |
Real period |
R |
19.987784014712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111630b2 |
Quadratic twists by: 61 |