Atkin-Lehner |
2- 3- 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
113220c |
Isogeny class |
Conductor |
113220 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
204288 |
Modular degree for the optimal curve |
Δ |
-21821562673920 = -1 · 28 · 313 · 5 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6072,-131708] |
[a1,a2,a3,a4,a6] |
Generators |
[404:8262:1] |
Generators of the group modulo torsion |
j |
132663517184/116927955 |
j-invariant |
L |
6.5853720024493 |
L(r)(E,1)/r! |
Ω |
0.37352383242931 |
Real period |
R |
0.73459971241125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37740k1 |
Quadratic twists by: -3 |