Atkin-Lehner |
2- 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
84960y |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
594584064000 = 212 · 39 · 53 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -3 -7 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2808,-43632] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:81:1] [-32:116:1] |
Generators of the group modulo torsion |
j |
30371328/7375 |
j-invariant |
L |
11.210954490538 |
L(r)(E,1)/r! |
Ω |
0.66744311938127 |
Real period |
R |
4.1992171936655 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84960bb1 84960f1 |
Quadratic twists by: -4 -3 |