Atkin-Lehner |
2+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36784g |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23616 |
Modular degree for the optimal curve |
Δ |
-205665523712 = -1 · 211 · 114 · 193 |
Discriminant |
Eigenvalues |
2+ 0 0 -1 11- 3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,605,-21054] |
[a1,a2,a3,a4,a6] |
Generators |
[37:228:1] |
Generators of the group modulo torsion |
j |
816750/6859 |
j-invariant |
L |
5.2603247671964 |
L(r)(E,1)/r! |
Ω |
0.49660061892884 |
Real period |
R |
0.88272221289579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18392b1 36784c1 |
Quadratic twists by: -4 -11 |