Atkin-Lehner |
2+ 3+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290g |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
274522500 = 22 · 33 · 54 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 0 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-204,-740] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-118:1] |
Generators of the group modulo torsion |
j |
34869635163/10167500 |
j-invariant |
L |
4.4899738141884 |
L(r)(E,1)/r! |
Ω |
1.2911785029879 |
Real period |
R |
0.43467787410755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290bp1 |
Quadratic twists by: -3 |