Atkin-Lehner |
2- 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200bl |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-3404715000000000000 = -1 · 212 · 3 · 513 · 613 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 4 -4 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-184133,93902637] |
[a1,a2,a3,a4,a6] |
j |
-10788001140736/53198671875 |
j-invariant |
L |
0.43508698270585 |
L(r)(E,1)/r! |
Ω |
0.21754349485014 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4575e1 14640bi1 |
Quadratic twists by: -4 5 |