Atkin-Lehner |
2+ 3+ 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36630g |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
5.7761201951158E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1135284,-287932960] |
[a1,a2,a3,a4,a6] |
Generators |
[-604:13612:1] |
Generators of the group modulo torsion |
j |
8221407719957471187/2934573080890000 |
j-invariant |
L |
5.4750392637585 |
L(r)(E,1)/r! |
Ω |
0.15058279061867 |
Real period |
R |
0.56810933138358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36630v2 |
Quadratic twists by: -3 |