Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215bc |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
Δ |
-7.3188730460815E+20 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -2 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1236407,1404546564] |
[a1,a2,a3,a4,a6] |
Generators |
[31296:1040602:27] |
Generators of the group modulo torsion |
j |
-5229566958889/18310546875 |
j-invariant |
L |
6.8062449383095 |
L(r)(E,1)/r! |
Ω |
0.14035919927947 |
Real period |
R |
1.1545623668458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000097711 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124215bt2 124215j2 |
Quadratic twists by: -7 13 |