Atkin-Lehner |
2- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
9940a |
Isogeny class |
Conductor |
9940 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-970357846472224000 = -1 · 28 · 53 · 75 · 715 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -5 2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,156844,-40869500] |
[a1,a2,a3,a4,a6] |
j |
1666804662635700656/3790460337782125 |
j-invariant |
L |
0.43289752865456 |
L(r)(E,1)/r! |
Ω |
0.14429917621819 |
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 |
39760t1 89460k1 49700g1 69580p1 |
Quadratic twists by: -4 -3 5 -7 |