Atkin-Lehner |
2- 3+ 13+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42978k |
Isogeny class |
Conductor |
42978 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-115032611866848 = -1 · 25 · 3 · 13 · 194 · 294 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 0 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,331,516155] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-728:1] |
Generators of the group modulo torsion |
j |
4009827469103/115032611866848 |
j-invariant |
L |
5.0229539255482 |
L(r)(E,1)/r! |
Ω |
0.4672163637452 |
Real period |
R |
1.075080907973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128934l3 |
Quadratic twists by: -3 |