Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200cn |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-6266327119200000000 = -1 · 211 · 313 · 58 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 -6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-379875,150421250] |
[a1,a2,a3,a4,a6] |
Generators |
[439:8262:1] [-275:15300:1] |
Generators of the group modulo torsion |
j |
-10395091970/10744731 |
j-invariant |
L |
10.253407460044 |
L(r)(E,1)/r! |
Ω |
0.21677964685874 |
Real period |
R |
0.32846357812818 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30600be1 20400j1 61200bb1 |
Quadratic twists by: -4 -3 5 |