Atkin-Lehner |
2+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
76880a |
Isogeny class |
Conductor |
76880 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
386880 |
Modular degree for the optimal curve |
Δ |
1091700527924480 = 28 · 5 · 318 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -3 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39721,-2612781] |
[a1,a2,a3,a4,a6] |
Generators |
[-74488:168175:512] |
Generators of the group modulo torsion |
j |
31744/5 |
j-invariant |
L |
4.7991581004262 |
L(r)(E,1)/r! |
Ω |
0.34176855140513 |
Real period |
R |
4.6807096798231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38440a1 76880e1 |
Quadratic twists by: -4 -31 |