Atkin-Lehner |
3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
28749d |
Isogeny class |
Conductor |
28749 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
-683794310988999 = -1 · 3 · 74 · 377 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19194,1613895] |
[a1,a2,a3,a4,a6] |
j |
-304821217/266511 |
j-invariant |
L |
1.8649550216018 |
L(r)(E,1)/r! |
Ω |
0.46623875540047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86247q1 777d1 |
Quadratic twists by: -3 37 |