Atkin-Lehner |
2+ 3+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270f |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
98359887600 = 24 · 39 · 52 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 4 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30039,2011373] |
[a1,a2,a3,a4,a6] |
Generators |
[62:589:1] |
Generators of the group modulo torsion |
j |
152298969481827/4997200 |
j-invariant |
L |
4.3485447605064 |
L(r)(E,1)/r! |
Ω |
0.99459350961568 |
Real period |
R |
1.0930457313629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36270bd2 |
Quadratic twists by: -3 |