Atkin-Lehner |
2- 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
34692h |
Isogeny class |
Conductor |
34692 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-35704779236784 = -1 · 24 · 38 · 78 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8297,-406230] |
[a1,a2,a3,a4,a6] |
Generators |
[222:2940:1] |
Generators of the group modulo torsion |
j |
-33560707072/18967851 |
j-invariant |
L |
5.3854473335644 |
L(r)(E,1)/r! |
Ω |
0.24373499922679 |
Real period |
R |
3.6825837833777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104076x1 4956c1 |
Quadratic twists by: -3 -7 |