Atkin-Lehner |
2+ 3+ 5+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
40470d |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
522470440304640 = 224 · 35 · 5 · 192 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-27738,1385748] |
[a1,a2,a3,a4,a6] |
j |
2360334788750311849/522470440304640 |
j-invariant |
L |
1.9667630172929 |
L(r)(E,1)/r! |
Ω |
0.49169075433737 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410bd1 |
Quadratic twists by: -3 |