Atkin-Lehner |
2+ 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850cp |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
317952 |
Modular degree for the optimal curve |
Δ |
-36221812976250 = -1 · 2 · 39 · 54 · 112 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11+ -6 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11142,540166] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:688:1] [53:284:1] |
Generators of the group modulo torsion |
j |
-335758915825/79499178 |
j-invariant |
L |
7.5582563980431 |
L(r)(E,1)/r! |
Ω |
0.62105031388727 |
Real period |
R |
0.16902943439185 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37950cl1 113850ec1 |
Quadratic twists by: -3 5 |