Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8850bd |
Isogeny class |
Conductor |
8850 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-21505500000 = -1 · 25 · 36 · 56 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -5 -1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17888,919392] |
[a1,a2,a3,a4,a6] |
Generators |
[82:-116:1] |
Generators of the group modulo torsion |
j |
-40512641613625/1376352 |
j-invariant |
L |
7.5782107974528 |
L(r)(E,1)/r! |
Ω |
1.1299232229214 |
Real period |
R |
0.11178061546901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70800bi1 26550u1 354c1 |
Quadratic twists by: -4 -3 5 |