Atkin-Lehner |
2+ 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65366h |
Isogeny class |
Conductor |
65366 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
29294173380944402 = 2 · 76 · 236 · 292 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 2 -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-427142,107240874] |
[a1,a2,a3,a4,a6] |
Generators |
[-565:13243:1] |
Generators of the group modulo torsion |
j |
73257631680515625/248996365298 |
j-invariant |
L |
3.5107291197164 |
L(r)(E,1)/r! |
Ω |
0.37426094903379 |
Real period |
R |
0.7817026079461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1334b2 |
Quadratic twists by: -7 |