Atkin-Lehner |
3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36309w |
Isogeny class |
Conductor |
36309 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
635040 |
Modular degree for the optimal curve |
Δ |
-1399700393859083589 = -1 · 37 · 76 · 133 · 195 |
Discriminant |
Eigenvalues |
1 3- 3 7- 4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,272953,15099347] |
[a1,a2,a3,a4,a6] |
j |
19116191615070887/11897257043061 |
j-invariant |
L |
5.8498826136794 |
L(r)(E,1)/r! |
Ω |
0.16713950324843 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108927p1 741b1 |
Quadratic twists by: -3 -7 |