Atkin-Lehner |
2- 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73080v |
Isogeny class |
Conductor |
73080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20992 |
Modular degree for the optimal curve |
Δ |
-49109760 = -1 · 28 · 33 · 5 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108,548] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:30:1] [8:14:1] |
Generators of the group modulo torsion |
j |
-20155392/7105 |
j-invariant |
L |
9.6113845221435 |
L(r)(E,1)/r! |
Ω |
1.8917047145296 |
Real period |
R |
0.63510074064551 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73080b1 |
Quadratic twists by: -3 |