Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574l |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-4612311396 = -1 · 22 · 34 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 11- -5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-662,-7608] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-472:1] |
Generators of the group modulo torsion |
j |
-2259169/324 |
j-invariant |
L |
3.5875920447499 |
L(r)(E,1)/r! |
Ω |
0.46680116702932 |
Real period |
R |
0.96068527087814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722gq1 726d1 35574cb1 |
Quadratic twists by: -3 -7 -11 |