Atkin-Lehner |
3- 5- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
107415s |
Isogeny class |
Conductor |
107415 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-1.3963202226343E+20 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 11- -6 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1220298,232401757] |
[a1,a2,a3,a4,a6] |
j |
275672777712693641216/191539125189890555 |
j-invariant |
L |
1.8612068017265 |
L(r)(E,1)/r! |
Ω |
0.11632539574574 |
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 |
11935a1 |
Quadratic twists by: -3 |