Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
70644d |
Isogeny class |
Conductor |
70644 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-12591220058928 = -1 · 24 · 33 · 72 · 296 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5607,-56970] |
[a1,a2,a3,a4,a6] |
Generators |
[92025887096:1075593391729:1497193984] |
Generators of the group modulo torsion |
j |
2048000/1323 |
j-invariant |
L |
6.2827555797436 |
L(r)(E,1)/r! |
Ω |
0.40673167630149 |
Real period |
R |
15.446929625376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84a1 |
Quadratic twists by: 29 |