Atkin-Lehner |
5- 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
97825q |
Isogeny class |
Conductor |
97825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
582400 |
Modular degree for the optimal curve |
Δ |
-74869928123046875 = -1 · 59 · 74 · 135 · 43 |
Discriminant |
Eigenvalues |
1 1 5- 7- -2 13+ -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,22924,13098673] |
[a1,a2,a3,a4,a6] |
Generators |
[127:4186:1] |
Generators of the group modulo torsion |
j |
682169197627/38333403199 |
j-invariant |
L |
7.5426646643977 |
L(r)(E,1)/r! |
Ω |
0.26222805042583 |
Real period |
R |
3.5954699681905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97825p1 |
Quadratic twists by: 5 |