Atkin-Lehner |
2- 3- 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658cw |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
260 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-17100427948170336 = -1 · 25 · 313 · 77 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11+ 1 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-89475,12063393] |
[a1,a2,a3,a4,a6] |
Generators |
[-276:4107:1] |
Generators of the group modulo torsion |
j |
-673350049820449/145351239264 |
j-invariant |
L |
16.020692707705 |
L(r)(E,1)/r! |
Ω |
0.372780291959 |
Real period |
R |
0.16529320444326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999780247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17094t1 |
Quadratic twists by: -7 |