Atkin-Lehner |
3- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
24885d |
Isogeny class |
Conductor |
24885 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
2015685 = 36 · 5 · 7 · 79 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -3 -5 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-48,108] |
[a1,a2,a3,a4,a6] |
Generators |
[2:4:1] |
Generators of the group modulo torsion |
j |
16777216/2765 |
j-invariant |
L |
3.2192407667148 |
L(r)(E,1)/r! |
Ω |
2.5024140264217 |
Real period |
R |
0.6432270465088 |
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 |
2765b1 124425c1 |
Quadratic twists by: -3 5 |