Atkin-Lehner |
3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
9675c |
Isogeny class |
Conductor |
9675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
110721588134765625 = 33 · 520 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 -4 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1953192,-1050057909] |
[a1,a2,a3,a4,a6] |
j |
1953326569433829507/262451171875 |
j-invariant |
L |
0.25541524009884 |
L(r)(E,1)/r! |
Ω |
0.12770762004942 |
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 |
9675f1 1935a1 |
Quadratic twists by: -3 5 |