Atkin-Lehner |
2+ 3+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
88920d |
Isogeny class |
Conductor |
88920 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
801792 |
Modular degree for the optimal curve |
Δ |
-180337369915872000 = -1 · 28 · 39 · 53 · 133 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -1 13+ 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87372,22721364] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:5130:1] |
Generators of the group modulo torsion |
j |
-14638928366592/35789404625 |
j-invariant |
L |
8.9213274318857 |
L(r)(E,1)/r! |
Ω |
0.28346565764582 |
Real period |
R |
0.32783687045517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88920t1 |
Quadratic twists by: -3 |