Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488il |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-12150130652352 = -1 · 26 · 37 · 72 · 116 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -1 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8227,329867] |
[a1,a2,a3,a4,a6] |
Generators |
[74:-363:1] |
Generators of the group modulo torsion |
j |
-19639251778048/3874403907 |
j-invariant |
L |
9.4442533066723 |
L(r)(E,1)/r! |
Ω |
0.68380074203948 |
Real period |
R |
0.32884312615772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488fl1 51744bz1 103488ez1 |
Quadratic twists by: -4 8 -7 |