Atkin-Lehner |
2+ 5- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
99280g |
Isogeny class |
Conductor |
99280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-992800000000 = -1 · 211 · 58 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -1 1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2987,79034] |
[a1,a2,a3,a4,a6] |
Generators |
[73:500:1] |
Generators of the group modulo torsion |
j |
-1439128015362/484765625 |
j-invariant |
L |
5.5023938078398 |
L(r)(E,1)/r! |
Ω |
0.82920979489139 |
Real period |
R |
0.2073658652209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49640h1 |
Quadratic twists by: -4 |