Atkin-Lehner |
5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30685b |
Isogeny class |
Conductor |
30685 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
53352 |
Modular degree for the optimal curve |
Δ |
36090071462125 = 53 · 17 · 198 |
Discriminant |
Eigenvalues |
0 1 5- -1 0 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9145,169506] |
[a1,a2,a3,a4,a6] |
j |
4980736/2125 |
j-invariant |
L |
0.58797382692968 |
L(r)(E,1)/r! |
Ω |
0.58797382693051 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
30685e1 |
Quadratic twists by: -19 |