Atkin-Lehner |
3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
36603q |
Isogeny class |
Conductor |
36603 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
628992 |
Modular degree for the optimal curve |
Δ |
-1059704344986957243 = -1 · 38 · 710 · 833 |
Discriminant |
Eigenvalues |
-2 3- -2 7- -1 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-50421,-49719308] |
[a1,a2,a3,a4,a6] |
Generators |
[436:3343:1] |
Generators of the group modulo torsion |
j |
-68841472/5146083 |
j-invariant |
L |
2.6589526744895 |
L(r)(E,1)/r! |
Ω |
0.12187108611272 |
Real period |
R |
5.4544370598908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12201f1 36603g1 |
Quadratic twists by: -3 -7 |