Atkin-Lehner |
2- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
102200n |
Isogeny class |
Conductor |
102200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-1791290060000000 = -1 · 28 · 57 · 75 · 732 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 1 5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68033,7104563] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:3650:1] |
Generators of the group modulo torsion |
j |
-8706206639104/447822515 |
j-invariant |
L |
8.1830119805893 |
L(r)(E,1)/r! |
Ω |
0.46495577145056 |
Real period |
R |
1.0999718243794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20440b1 |
Quadratic twists by: 5 |