Atkin-Lehner |
5- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
74005n |
Isogeny class |
Conductor |
74005 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
535040 |
Modular degree for the optimal curve |
Δ |
-330754890223475 = -1 · 52 · 199 · 41 |
Discriminant |
Eigenvalues |
0 3 5- -4 -6 1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,13718,-619025] |
[a1,a2,a3,a4,a6] |
Generators |
[1551:16154:27] |
Generators of the group modulo torsion |
j |
884736/1025 |
j-invariant |
L |
7.4545548988811 |
L(r)(E,1)/r! |
Ω |
0.29136790396581 |
Real period |
R |
6.3961702696772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74005l1 |
Quadratic twists by: -19 |