Atkin-Lehner |
2+ 3- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270z |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-26468372531250 = -1 · 2 · 37 · 56 · 13 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 0 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37494,2814750] |
[a1,a2,a3,a4,a6] |
Generators |
[-219:807:1] |
Generators of the group modulo torsion |
j |
-7996280576570209/36307781250 |
j-invariant |
L |
4.3159701569644 |
L(r)(E,1)/r! |
Ω |
0.67177123172781 |
Real period |
R |
0.80309522667844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
12090ba2 |
Quadratic twists by: -3 |