Atkin-Lehner |
2- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27550bb |
Isogeny class |
Conductor |
27550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
33840 |
Modular degree for the optimal curve |
Δ |
-1721875000 = -1 · 23 · 58 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 2 5- -3 3 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5263,144781] |
[a1,a2,a3,a4,a6] |
Generators |
[49:62:1] |
Generators of the group modulo torsion |
j |
-41273276305/4408 |
j-invariant |
L |
11.478569108541 |
L(r)(E,1)/r! |
Ω |
1.4320153591218 |
Real period |
R |
2.6718915257958 |
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 |
27550c1 |
Quadratic twists by: 5 |