Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9310q |
Isogeny class |
Conductor |
9310 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-39118292500000 = -1 · 25 · 57 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 1 3 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3431,-312131] |
[a1,a2,a3,a4,a6] |
j |
-37966934881/332500000 |
j-invariant |
L |
5.4688141930574 |
L(r)(E,1)/r! |
Ω |
0.27344070965287 |
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 |
74480bk1 83790ce1 46550x1 1330i1 |
Quadratic twists by: -4 -3 5 -7 |