Atkin-Lehner |
3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
28899b |
Isogeny class |
Conductor |
28899 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
-232493066278381467 = -1 · 37 · 138 · 194 |
Discriminant |
Eigenvalues |
0 3- 2 3 6 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-224094,46961424] |
[a1,a2,a3,a4,a6] |
j |
-2092859392/390963 |
j-invariant |
L |
3.6136888317398 |
L(r)(E,1)/r! |
Ω |
0.30114073597822 |
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 |
9633g1 28899j1 |
Quadratic twists by: -3 13 |