Atkin-Lehner |
2+ 3- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55062v |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-584584003584 = -1 · 218 · 36 · 7 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 0 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5913,-177363] |
[a1,a2,a3,a4,a6] |
Generators |
[294935310:2088107641:2460375] |
Generators of the group modulo torsion |
j |
-31366144171153/801898496 |
j-invariant |
L |
6.4106057681216 |
L(r)(E,1)/r! |
Ω |
0.27180565557193 |
Real period |
R |
11.792627630514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6118l1 |
Quadratic twists by: -3 |