Atkin-Lehner |
2- 7- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
129584t |
Isogeny class |
Conductor |
129584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-2073344 = -1 · 28 · 7 · 13 · 89 |
Discriminant |
Eigenvalues |
2- -1 2 7- 0 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117,-455] |
[a1,a2,a3,a4,a6] |
Generators |
[1083:6490:27] |
Generators of the group modulo torsion |
j |
-697827328/8099 |
j-invariant |
L |
7.7316031378594 |
L(r)(E,1)/r! |
Ω |
0.72479298031287 |
Real period |
R |
5.3336631071622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999728513 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32396b1 |
Quadratic twists by: -4 |