Atkin-Lehner |
3+ 5- 23+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
27255d |
Isogeny class |
Conductor |
27255 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4708928115 = 38 · 5 · 23 · 792 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-480,2142] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:86:1] |
Generators of the group modulo torsion |
j |
12232183057921/4708928115 |
j-invariant |
L |
1.5553837946629 |
L(r)(E,1)/r! |
Ω |
1.2506833915272 |
Real period |
R |
1.2436271283364 |
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 |
81765g2 |
Quadratic twists by: -3 |