Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850fx |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
17031168 |
Modular degree for the optimal curve |
Δ |
-3.0105647683841E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51745460,-300345862633] |
[a1,a2,a3,a4,a6] |
j |
-168152341439816283534893/330377478011967504384 |
j-invariant |
L |
2.3287742132458 |
L(r)(E,1)/r! |
Ω |
0.026463343346069 |
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 |
19950ba1 59850db1 |
Quadratic twists by: -3 5 |