Atkin-Lehner |
3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13671a |
Isogeny class |
Conductor |
13671 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
4456116674476677 = 33 · 78 · 315 |
Discriminant |
Eigenvalues |
0 3+ 0 7+ 5 -2 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-41160,-124252] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:963:1] |
Generators of the group modulo torsion |
j |
49545216000/28629151 |
j-invariant |
L |
3.9279243429535 |
L(r)(E,1)/r! |
Ω |
0.36633400195896 |
Real period |
R |
5.3611244410143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13671b1 13671c1 |
Quadratic twists by: -3 -7 |