Atkin-Lehner |
2+ 3- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270z |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-268110016200 = -1 · 23 · 39 · 52 · 133 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 0 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1116,20088] |
[a1,a2,a3,a4,a6] |
Generators |
[87:834:1] |
Generators of the group modulo torsion |
j |
210751100351/367777800 |
j-invariant |
L |
4.3159701569644 |
L(r)(E,1)/r! |
Ω |
0.67177123172781 |
Real period |
R |
0.26769840889281 |
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 |
12090ba1 |
Quadratic twists by: -3 |