Atkin-Lehner |
2+ 3+ 5+ 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
40890d |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8320 |
Modular degree for the optimal curve |
Δ |
-1104030 = -1 · 2 · 34 · 5 · 29 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -2 0 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,22,42] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:5:1] |
Generators of the group modulo torsion |
j |
1095912791/1104030 |
j-invariant |
L |
2.1535731127369 |
L(r)(E,1)/r! |
Ω |
1.8158744186822 |
Real period |
R |
0.59298514549839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122670cl1 |
Quadratic twists by: -3 |