Atkin-Lehner |
3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
12201d |
Isogeny class |
Conductor |
12201 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-39248309073591009 = -1 · 35 · 710 · 833 |
Discriminant |
Eigenvalues |
-1 3+ -1 7- -5 2 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-64436,-11449978] |
[a1,a2,a3,a4,a6] |
j |
-251490515920561/333605122641 |
j-invariant |
L |
0.28560862927611 |
L(r)(E,1)/r! |
Ω |
0.14280431463806 |
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 |
36603r1 1743c1 |
Quadratic twists by: -3 -7 |