Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
49686co |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
1976832 |
Modular degree for the optimal curve |
Δ |
-1.2865781236569E+20 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -3 13- 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2272670,-1428126757] |
[a1,a2,a3,a4,a6] |
j |
-5022437771811277/497757560832 |
j-invariant |
L |
3.1791028032959 |
L(r)(E,1)/r! |
Ω |
0.061136592375214 |
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 |
7098bf1 49686u1 |
Quadratic twists by: -7 13 |