Atkin-Lehner |
2+ 3+ 7- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
27258d |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-746714765766816 = -1 · 25 · 34 · 79 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 11+ -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6827,1329693] |
[a1,a2,a3,a4,a6] |
Generators |
[179:2336:1] |
Generators of the group modulo torsion |
j |
-35197580765826361/746714765766816 |
j-invariant |
L |
3.2685106645239 |
L(r)(E,1)/r! |
Ω |
0.4251429519722 |
Real period |
R |
0.21355631672186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81774cj1 |
Quadratic twists by: -3 |