Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162q |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-61523126173656 = -1 · 23 · 313 · 76 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -2 7 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-119079,-15790923] |
[a1,a2,a3,a4,a6] |
Generators |
[5468871:53478291:12167] |
Generators of the group modulo torsion |
j |
-2177286259681/717336 |
j-invariant |
L |
4.9863490971918 |
L(r)(E,1)/r! |
Ω |
0.12849966932619 |
Real period |
R |
9.7010932466564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054bm1 738d1 |
Quadratic twists by: -3 -7 |