Atkin-Lehner |
3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9975k |
Isogeny class |
Conductor |
9975 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
392765625 = 33 · 56 · 72 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -2 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-326,-2077] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:16:1] |
Generators of the group modulo torsion |
j |
244140625/25137 |
j-invariant |
L |
6.062721733327 |
L(r)(E,1)/r! |
Ω |
1.1314413845987 |
Real period |
R |
1.7861351652425 |
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 |
29925v1 399b1 69825i1 |
Quadratic twists by: -3 5 -7 |