Atkin-Lehner |
3+ 5+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42315a |
Isogeny class |
Conductor |
42315 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1147794375 = 3 · 54 · 72 · 13 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 2 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-321,-1632] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:29:1] |
Generators of the group modulo torsion |
j |
3658671062929/1147794375 |
j-invariant |
L |
2.7802300149122 |
L(r)(E,1)/r! |
Ω |
1.1556776599949 |
Real period |
R |
1.2028570384123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999673 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126945r2 |
Quadratic twists by: -3 |