Atkin-Lehner |
3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9975a |
Isogeny class |
Conductor |
9975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
77014138359375 = 32 · 57 · 78 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-115250,15005625] |
[a1,a2,a3,a4,a6] |
Generators |
[200:-25:1] |
Generators of the group modulo torsion |
j |
10835086336331041/4928904855 |
j-invariant |
L |
3.8671294315315 |
L(r)(E,1)/r! |
Ω |
0.60222431806463 |
Real period |
R |
1.6053525719284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29925r4 1995h4 69825bw4 |
Quadratic twists by: -3 5 -7 |