Atkin-Lehner |
2- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150bt |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-85502704889000000 = -1 · 26 · 56 · 77 · 473 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-38613,14365217] |
[a1,a2,a3,a4,a6] |
Generators |
[508:10967:1] |
Generators of the group modulo torsion |
j |
-3463512697/46512704 |
j-invariant |
L |
13.759182988817 |
L(r)(E,1)/r! |
Ω |
0.28890563128734 |
Real period |
R |
3.9687650832671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005137 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4606f2 16450j2 |
Quadratic twists by: 5 -7 |