Atkin-Lehner |
2+ 3- 5- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
36210n |
Isogeny class |
Conductor |
36210 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-41550975000000 = -1 · 26 · 34 · 58 · 172 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 2 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14573,743528] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:1030:1] |
Generators of the group modulo torsion |
j |
-342237635518301641/41550975000000 |
j-invariant |
L |
5.1583301483513 |
L(r)(E,1)/r! |
Ω |
0.62510240722716 |
Real period |
R |
0.25787425431784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108630l1 |
Quadratic twists by: -3 |