Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275dj |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.3825494517401E+22 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7680980,5929068772] |
[a1,a2,a3,a4,a6] |
Generators |
[809:15220:1] |
Generators of the group modulo torsion |
j |
37397086385121/10316796875 |
j-invariant |
L |
2.7560752561637 |
L(r)(E,1)/r! |
Ω |
0.11698502394119 |
Real period |
R |
2.944901799223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999986471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13475h4 24255bn3 17325z4 |
Quadratic twists by: -3 5 -7 |