Atkin-Lehner |
2+ 3+ 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720a |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-40613114880 = -1 · 210 · 39 · 5 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -3 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,584,7840] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:30:1] |
Generators of the group modulo torsion |
j |
21474271004/39661245 |
j-invariant |
L |
4.3328280042965 |
L(r)(E,1)/r! |
Ω |
0.78875876864608 |
Real period |
R |
2.7466116184307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018675 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48360h1 |
Quadratic twists by: -4 |