Atkin-Lehner |
2- 3- 7- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88578bm |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
1658896901996544 = 220 · 38 · 73 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35996,1760991] |
[a1,a2,a3,a4,a6] |
Generators |
[-139:2085:1] |
Generators of the group modulo torsion |
j |
7075344688691833/2275578740736 |
j-invariant |
L |
8.2026311457062 |
L(r)(E,1)/r! |
Ω |
0.43726124496526 |
Real period |
R |
0.31265180863618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000747 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29526g1 |
Quadratic twists by: -3 |