Atkin-Lehner |
2+ 3- 7- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27258p |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
3374784 |
Modular degree for the optimal curve |
Δ |
-2.6291056243226E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-37147881,87491728492] |
[a1,a2,a3,a4,a6] |
Generators |
[-5410:363438:1] |
Generators of the group modulo torsion |
j |
-5669252918192702541369759625/26291056243225681176192 |
j-invariant |
L |
5.0322293696919 |
L(r)(E,1)/r! |
Ω |
0.11953168562589 |
Real period |
R |
4.6777270286508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
81774cl1 |
Quadratic twists by: -3 |