Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200q |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-587520000 = -1 · 211 · 33 · 54 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -2 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-675,6850] |
[a1,a2,a3,a4,a6] |
Generators |
[5:60:1] [-25:90:1] |
Generators of the group modulo torsion |
j |
-984150/17 |
j-invariant |
L |
9.4439719864341 |
L(r)(E,1)/r! |
Ω |
1.6349804264172 |
Real period |
R |
0.24067495023815 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30600i1 61200w1 61200h1 |
Quadratic twists by: -4 -3 5 |