Atkin-Lehner |
2- 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12300h |
Isogeny class |
Conductor |
12300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-114443320500000000 = -1 · 28 · 34 · 59 · 414 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-629708,-192812088] |
[a1,a2,a3,a4,a6] |
Generators |
[12458801643019874:-607660013058266133:4709529362728] |
Generators of the group modulo torsion |
j |
-55229616766352/228886641 |
j-invariant |
L |
4.4723506971809 |
L(r)(E,1)/r! |
Ω |
0.084718252892728 |
Real period |
R |
26.395437491162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49200du2 36900t2 12300o2 |
Quadratic twists by: -4 -3 5 |