Atkin-Lehner |
3- 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
68265c |
Isogeny class |
Conductor |
68265 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1022951025 = 36 · 52 · 372 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 0 6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2003,34962] |
[a1,a2,a3,a4,a6] |
Generators |
[36:74:1] |
Generators of the group modulo torsion |
j |
1218528651241/1403225 |
j-invariant |
L |
4.3051616993944 |
L(r)(E,1)/r! |
Ω |
1.5531982029848 |
Real period |
R |
1.3859022280814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7585b2 |
Quadratic twists by: -3 |