Atkin-Lehner |
2- 7+ 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120176o |
Isogeny class |
Conductor |
120176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
179432797768784 = 24 · 710 · 29 · 372 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ -2 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18836,758095] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:592:1] [45:40:1] |
Generators of the group modulo torsion |
j |
46192319961219072/11214549860549 |
j-invariant |
L |
8.9698006001953 |
L(r)(E,1)/r! |
Ω |
0.53503160850495 |
Real period |
R |
16.764991934921 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985307 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30044d1 |
Quadratic twists by: -4 |