Atkin-Lehner |
2+ 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
36050b |
Isogeny class |
Conductor |
36050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-2307200000000 = -1 · 213 · 58 · 7 · 103 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -2 3 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2376,85398] |
[a1,a2,a3,a4,a6] |
Generators |
[72:501:1] |
Generators of the group modulo torsion |
j |
-94881210481/147660800 |
j-invariant |
L |
4.3027736927807 |
L(r)(E,1)/r! |
Ω |
0.73514130896522 |
Real period |
R |
2.926494294571 |
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 |
7210l1 |
Quadratic twists by: 5 |