Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
34080x |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
2.3527667976397E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 0 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3826255896,-91096784896104] |
[a1,a2,a3,a4,a6] |
Generators |
[-252232238651426478467285693438333730622712033779824693405790:-3817286365794662223623053306598277130122255926631058635817:7062871997488182984756300044168602800220344401068354408] |
Generators of the group modulo torsion |
j |
12099732992156310601407496830152/45952476516400608675 |
j-invariant |
L |
5.0122954657875 |
L(r)(E,1)/r! |
Ω |
0.0191957927255 |
Real period |
R |
87.038091062686 |
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 |
34080p2 68160bl2 102240n2 |
Quadratic twists by: -4 8 -3 |