Atkin-Lehner |
2+ 3- 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40470x |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
9945907200000 = 218 · 32 · 55 · 19 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 2 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-88338,10097188] |
[a1,a2,a3,a4,a6] |
j |
76235865006708840601/9945907200000 |
j-invariant |
L |
3.4933585599999 |
L(r)(E,1)/r! |
Ω |
0.69867171200635 |
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 |
121410bb1 |
Quadratic twists by: -3 |