Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40425t |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-2517943668546796875 = -1 · 35 · 57 · 77 · 115 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11- 0 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-160883,-80230207] |
[a1,a2,a3,a4,a6] |
Generators |
[607:6737:1] |
Generators of the group modulo torsion |
j |
-250523582464/1369738755 |
j-invariant |
L |
3.9811578380633 |
L(r)(E,1)/r! |
Ω |
0.10712674753455 |
Real period |
R |
0.46453826071561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275cx1 8085y1 5775r1 |
Quadratic twists by: -3 5 -7 |