Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
88800r |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
-124875000000000000 = -1 · 212 · 33 · 515 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 -1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-403533,99985563] |
[a1,a2,a3,a4,a6] |
Generators |
[393:1500:1] |
Generators of the group modulo torsion |
j |
-113548651969024/1951171875 |
j-invariant |
L |
9.1834779620562 |
L(r)(E,1)/r! |
Ω |
0.33080756382124 |
Real period |
R |
2.3133988273912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88800f1 17760s1 |
Quadratic twists by: -4 5 |