Atkin-Lehner |
3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
36603a |
Isogeny class |
Conductor |
36603 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
21883066947 = 33 · 76 · 832 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 0 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1038,10989] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:45:1] [-12:153:1] |
Generators of the group modulo torsion |
j |
38958219/6889 |
j-invariant |
L |
9.2133771702007 |
L(r)(E,1)/r! |
Ω |
1.1503561030693 |
Real period |
R |
4.0045761245661 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36603b2 747b2 |
Quadratic twists by: -3 -7 |