Atkin-Lehner |
3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9975d |
Isogeny class |
Conductor |
9975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
15754265625 = 3 · 56 · 72 · 193 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -2 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10775,426000] |
[a1,a2,a3,a4,a6] |
j |
8855610342769/1008273 |
j-invariant |
L |
1.1923772796574 |
L(r)(E,1)/r! |
Ω |
1.1923772796574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29925bc1 399c1 69825bv1 |
Quadratic twists by: -3 5 -7 |