Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
76320l |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
730072388160 = 26 · 316 · 5 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2253,-2068] |
[a1,a2,a3,a4,a6] |
Generators |
[49:72:1] |
Generators of the group modulo torsion |
j |
27108144064/15647985 |
j-invariant |
L |
4.2225520982718 |
L(r)(E,1)/r! |
Ω |
0.75625500813741 |
Real period |
R |
2.7917514943986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76320bo1 25440ba1 |
Quadratic twists by: -4 -3 |