Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920bk |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
261054615099801600 = 228 · 38 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-391105,91007425] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:10192:1] |
Generators of the group modulo torsion |
j |
25238585142450289/995844326400 |
j-invariant |
L |
5.8813180471505 |
L(r)(E,1)/r! |
Ω |
0.3079353895797 |
Real period |
R |
4.7747987452274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920ie2 2310q2 |
Quadratic twists by: -4 8 |