Atkin-Lehner |
2+ 3- 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67158k |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
935680 |
Modular degree for the optimal curve |
Δ |
-173059003440739962 = -1 · 2 · 37 · 7 · 1310 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 3 13- -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,139113,-1361633] |
[a1,a2,a3,a4,a6] |
Generators |
[1313:48776:1] |
Generators of the group modulo torsion |
j |
408411137424575375/237392322963978 |
j-invariant |
L |
4.2655475800856 |
L(r)(E,1)/r! |
Ω |
0.1902674650856 |
Real period |
R |
0.5604672845014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22386p1 |
Quadratic twists by: -3 |