Atkin-Lehner |
2- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36652n |
Isogeny class |
Conductor |
36652 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-428190046630192 = -1 · 24 · 72 · 113 · 177 |
Discriminant |
Eigenvalues |
2- 0 4 7- 11- 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14812,713965] |
[a1,a2,a3,a4,a6] |
j |
458404381016064/546160773763 |
j-invariant |
L |
4.2508087507334 |
L(r)(E,1)/r! |
Ω |
0.354234062562 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36652e1 |
Quadratic twists by: -7 |