Atkin-Lehner |
2- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
27650z |
Isogeny class |
Conductor |
27650 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-203312178125000 = -1 · 23 · 58 · 77 · 79 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 1 1 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17588,-1137219] |
[a1,a2,a3,a4,a6] |
Generators |
[355:-6303:1] |
Generators of the group modulo torsion |
j |
-38508322495609/13011979400 |
j-invariant |
L |
7.2047497411438 |
L(r)(E,1)/r! |
Ω |
0.2037989093795 |
Real period |
R |
0.42086010427071 |
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 |
5530a1 |
Quadratic twists by: 5 |