Atkin-Lehner |
2+ 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27550c |
Isogeny class |
Conductor |
27550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6768 |
Modular degree for the optimal curve |
Δ |
-110200 = -1 · 23 · 52 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5+ 3 3 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-211,1158] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-3:1] |
Generators of the group modulo torsion |
j |
-41273276305/4408 |
j-invariant |
L |
2.8671858097129 |
L(r)(E,1)/r! |
Ω |
3.2020836878201 |
Real period |
R |
0.89541251548762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27550bb1 |
Quadratic twists by: 5 |