Atkin-Lehner |
7- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
127813d |
Isogeny class |
Conductor |
127813 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1305600 |
Modular degree for the optimal curve |
Δ |
-8785685601907963 = -1 · 75 · 19 · 317 |
Discriminant |
Eigenvalues |
-2 2 -2 7- 0 6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-81044,-9932834] |
[a1,a2,a3,a4,a6] |
Generators |
[1726:70633:1] |
Generators of the group modulo torsion |
j |
-66331758592/9899323 |
j-invariant |
L |
4.9874105534541 |
L(r)(E,1)/r! |
Ω |
0.14032100637887 |
Real period |
R |
1.777143222794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000087053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4123b1 |
Quadratic twists by: -31 |