Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840f |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-1124292960000 = -1 · 28 · 310 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2343,-67142] |
[a1,a2,a3,a4,a6] |
j |
-7622072656/6024375 |
j-invariant |
L |
1.3273843876159 |
L(r)(E,1)/r! |
Ω |
0.33184609690656 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680v1 14280bw1 |
Quadratic twists by: -4 -3 |