Atkin-Lehner |
2+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9400c |
Isogeny class |
Conductor |
9400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6960 |
Modular degree for the optimal curve |
Δ |
-293750000 = -1 · 24 · 58 · 47 |
Discriminant |
Eigenvalues |
2+ 3 5- 1 6 -2 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,125,-625] |
[a1,a2,a3,a4,a6] |
j |
34560/47 |
j-invariant |
L |
5.5251200009032 |
L(r)(E,1)/r! |
Ω |
0.92085333348387 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18800o1 75200bo1 84600cf1 9400l1 |
Quadratic twists by: -4 8 -3 5 |