Atkin-Lehner |
2- 23- |
Signs for the Atkin-Lehner involutions |
Class |
8464r |
Isogeny class |
Conductor |
8464 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
463680 |
Modular degree for the optimal curve |
Δ |
-2.1719422711182E+19 |
Discriminant |
Eigenvalues |
2- -3 2 2 -4 4 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5316979,4724275762] |
[a1,a2,a3,a4,a6] |
Generators |
[1289:3520:1] |
Generators of the group modulo torsion |
j |
-97967097/128 |
j-invariant |
L |
3.2248406493888 |
L(r)(E,1)/r! |
Ω |
0.21437756975624 |
Real period |
R |
3.7607020326983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1058d1 33856br1 76176cd1 8464s1 |
Quadratic twists by: -4 8 -3 -23 |