Atkin-Lehner |
2- 3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290bt |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
1120 |
Product of Tamagawa factors cp |
deg |
76124160 |
Modular degree for the optimal curve |
Δ |
7.2614253275356E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7589801468,-254498287432769] |
[a1,a2,a3,a4,a6] |
j |
2456539021882508929034822820603/36891862660852613120000 |
j-invariant |
L |
4.5289796934603 |
L(r)(E,1)/r! |
Ω |
0.016174927474452 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290k1 |
Quadratic twists by: -3 |