Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215bd |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3.3793488814696E+24 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-65668502,223078007391] |
[a1,a2,a3,a4,a6] |
Generators |
[49406:1819047:8] |
Generators of the group modulo torsion |
j |
-55150149867714721/5950927734375 |
j-invariant |
L |
5.1348799897258 |
L(r)(E,1)/r! |
Ω |
0.077264689178206 |
Real period |
R |
4.1536438125388 |
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 |
2535f8 9555e8 |
Quadratic twists by: -7 13 |