Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
35574c |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-24763105344242034 = -1 · 2 · 37 · 74 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 11+ 2 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,17664,7524378] |
[a1,a2,a3,a4,a6] |
Generators |
[-1399775:36443227:15625] |
Generators of the group modulo torsion |
j |
107653/4374 |
j-invariant |
L |
4.9075362834862 |
L(r)(E,1)/r! |
Ω |
0.28611398209813 |
Real period |
R |
8.5761909423264 |
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 |
106722fk1 35574y1 35574bp1 |
Quadratic twists by: -3 -7 -11 |