Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
33300d |
Isogeny class |
Conductor |
33300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-236563200 = -1 · 28 · 33 · 52 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -2 1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,120,-540] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-74:1] |
Generators of the group modulo torsion |
j |
1105920/1369 |
j-invariant |
L |
4.6334229057058 |
L(r)(E,1)/r! |
Ω |
0.94324162459805 |
Real period |
R |
0.4093527738876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33300c1 33300f1 |
Quadratic twists by: -3 5 |