Atkin-Lehner |
3+ 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119145d |
Isogeny class |
Conductor |
119145 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6621907257761629275 = -1 · 312 · 52 · 139 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,383880,-83193180] |
[a1,a2,a3,a4,a6] |
Generators |
[53489674:-1696028545:97336] |
Generators of the group modulo torsion |
j |
589956416603/624443175 |
j-invariant |
L |
2.8914260002876 |
L(r)(E,1)/r! |
Ω |
0.12847875984046 |
Real period |
R |
11.252544646938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000130426 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119145b2 |
Quadratic twists by: 13 |