Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
101400x |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3893760 |
Modular degree for the optimal curve |
Δ |
-3.81761977428E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 3 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8147208,8958440412] |
[a1,a2,a3,a4,a6] |
Generators |
[-3267:26364:1] |
Generators of the group modulo torsion |
j |
-14099380/9 |
j-invariant |
L |
6.6623602209206 |
L(r)(E,1)/r! |
Ω |
0.20287070005015 |
Real period |
R |
4.1050532650281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999759324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101400dk1 101400cr1 |
Quadratic twists by: 5 13 |