Atkin-Lehner |
2- 3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36270bq |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
528 |
Product of Tamagawa factors cp |
deg |
3784704 |
Modular degree for the optimal curve |
Δ |
-5.2329600059487E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11817842,-19119055759] |
[a1,a2,a3,a4,a6] |
j |
-250386371942892200094169/71782716130983936000 |
j-invariant |
L |
5.295574335683 |
L(r)(E,1)/r! |
Ω |
0.040117987391566 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090h1 |
Quadratic twists by: -3 |