Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24255bq |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-160844297218171875 = -1 · 315 · 56 · 72 · 114 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 11- 1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,132468,5286937] |
[a1,a2,a3,a4,a6] |
Generators |
[2137:100237:1] |
Generators of the group modulo torsion |
j |
7196694080651264/4502793796875 |
j-invariant |
L |
4.563621271061 |
L(r)(E,1)/r! |
Ω |
0.20042072138762 |
Real period |
R |
0.23718965406582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8085c1 121275du1 24255z1 |
Quadratic twists by: -3 5 -7 |