Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600bt |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
169492500000000 = 28 · 37 · 510 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 3 -6 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52500,4587500] |
[a1,a2,a3,a4,a6] |
Generators |
[121:81:1] |
Generators of the group modulo torsion |
j |
8780800/93 |
j-invariant |
L |
3.9186872786662 |
L(r)(E,1)/r! |
Ω |
0.57500295019235 |
Real period |
R |
3.4075366751676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999909313 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55800bv1 37200h1 111600ci1 |
Quadratic twists by: -4 -3 5 |