Atkin-Lehner |
2+ 5+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
36850a |
Isogeny class |
Conductor |
36850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53568 |
Modular degree for the optimal curve |
Δ |
-737000000000 = -1 · 29 · 59 · 11 · 67 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 11+ -5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2250,-3500] |
[a1,a2,a3,a4,a6] |
Generators |
[45:415:1] |
Generators of the group modulo torsion |
j |
80565593759/47168000 |
j-invariant |
L |
3.2596504875886 |
L(r)(E,1)/r! |
Ω |
0.53036222110269 |
Real period |
R |
1.5365208709679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7370j1 |
Quadratic twists by: 5 |