Atkin-Lehner |
2- 3+ 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
123900c |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-199207968750000 = -1 · 24 · 32 · 510 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30133,-2114738] |
[a1,a2,a3,a4,a6] |
Generators |
[447:8575:1] |
Generators of the group modulo torsion |
j |
-12103897317376/796831875 |
j-invariant |
L |
4.9572955558074 |
L(r)(E,1)/r! |
Ω |
0.18049269727845 |
Real period |
R |
2.2887793881698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999452406 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24780p1 |
Quadratic twists by: 5 |