Atkin-Lehner |
2- 3- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
36252l |
Isogeny class |
Conductor |
36252 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9720 |
Modular degree for the optimal curve |
Δ |
-11745648 = -1 · 24 · 36 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 3 4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21,169] |
[a1,a2,a3,a4,a6] |
Generators |
[0:13:1] |
Generators of the group modulo torsion |
j |
-87808/1007 |
j-invariant |
L |
4.168896349121 |
L(r)(E,1)/r! |
Ω |
1.9231965325341 |
Real period |
R |
2.1676912778266 |
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 |
4028a1 |
Quadratic twists by: -3 |