Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215bd |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.0422638874026E+23 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5009833,14923106346] |
[a1,a2,a3,a4,a6] |
Generators |
[112566:13500057:8] |
Generators of the group modulo torsion |
j |
24487529386319/183539412225 |
j-invariant |
L |
5.1348799897258 |
L(r)(E,1)/r! |
Ω |
0.077264689178206 |
Real period |
R |
8.3072876250775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038173 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2535f6 9555e6 |
Quadratic twists by: -7 13 |