Atkin-Lehner |
2- 3- 7+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
88578bg |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
803579616 = 25 · 36 · 72 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -1 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1166,15549] |
[a1,a2,a3,a4,a6] |
Generators |
[11:57:1] |
Generators of the group modulo torsion |
j |
240293820313/1102304 |
j-invariant |
L |
12.591982851618 |
L(r)(E,1)/r! |
Ω |
1.5984653820277 |
Real period |
R |
0.3938772462194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9842b1 |
Quadratic twists by: -3 |