Atkin-Lehner |
2- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
74200t |
Isogeny class |
Conductor |
74200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
77568 |
Modular degree for the optimal curve |
Δ |
-345313740800 = -1 · 211 · 52 · 74 · 532 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 5 -4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-848,-30112] |
[a1,a2,a3,a4,a6] |
j |
-1318722290/6744409 |
j-invariant |
L |
3.1909629636558 |
L(r)(E,1)/r! |
Ω |
0.39887037049848 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74200j1 |
Quadratic twists by: 5 |