Atkin-Lehner |
2- 3+ 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31302j |
Isogeny class |
Conductor |
31302 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
1.1423450637777E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1486595,-471096701] |
[a1,a2,a3,a4,a6] |
Generators |
[-893:12434:1] |
Generators of the group modulo torsion |
j |
18459084125607532875/5803714188780544 |
j-invariant |
L |
8.3668518756446 |
L(r)(E,1)/r! |
Ω |
0.14010487295136 |
Real period |
R |
0.99530821678954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31302a2 |
Quadratic twists by: -3 |