Atkin-Lehner |
2+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40600b |
Isogeny class |
Conductor |
40600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
51511250000 = 24 · 57 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 4 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2283,41312] |
[a1,a2,a3,a4,a6] |
Generators |
[23:21:1] |
Generators of the group modulo torsion |
j |
5266130944/206045 |
j-invariant |
L |
8.6942169837588 |
L(r)(E,1)/r! |
Ω |
1.1149470049042 |
Real period |
R |
1.9494686620796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81200m1 8120h1 |
Quadratic twists by: -4 5 |