Atkin-Lehner |
3- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36075o |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
49280 |
Modular degree for the optimal curve |
Δ |
-1331370421875 = -1 · 311 · 56 · 13 · 37 |
Discriminant |
Eigenvalues |
0 3- 5+ 4 -3 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2717,-9656] |
[a1,a2,a3,a4,a6] |
Generators |
[8:112:1] |
Generators of the group modulo torsion |
j |
141909917696/85207707 |
j-invariant |
L |
6.5901268059649 |
L(r)(E,1)/r! |
Ω |
0.49935563048452 |
Real period |
R |
0.59987551990212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108225o1 1443b1 |
Quadratic twists by: -3 5 |