Atkin-Lehner |
3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9555h |
Isogeny class |
Conductor |
9555 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
241800 |
Modular degree for the optimal curve |
Δ |
-1.803166947097E+19 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 0 13- 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,654855,-11895892] |
[a1,a2,a3,a4,a6] |
j |
633814853024541310976/367993254509587395 |
j-invariant |
L |
1.6814211013302 |
L(r)(E,1)/r! |
Ω |
0.12934008471771 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28665z1 47775bz1 9555n1 124215b1 |
Quadratic twists by: -3 5 -7 13 |