Atkin-Lehner |
2+ 3+ 5- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
40290h |
Isogeny class |
Conductor |
40290 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-483480 = -1 · 23 · 32 · 5 · 17 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -5 -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17,-51] |
[a1,a2,a3,a4,a6] |
Generators |
[5:2:1] |
Generators of the group modulo torsion |
j |
-594823321/483480 |
j-invariant |
L |
3.4791888570338 |
L(r)(E,1)/r! |
Ω |
1.1276875130209 |
Real period |
R |
1.5426209906827 |
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 |
120870ba1 |
Quadratic twists by: -3 |