Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350bc |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-298397305937500 = -1 · 22 · 57 · 72 · 117 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10651,931698] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-858:1] |
Generators of the group modulo torsion |
j |
-4826809/10780 |
j-invariant |
L |
2.5732178950007 |
L(r)(E,1)/r! |
Ω |
0.48469575716293 |
Real period |
R |
0.66361677840667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999766 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470t1 3850p1 |
Quadratic twists by: 5 -11 |