Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608ci |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
85948890048 = 26 · 312 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 2 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30243,2024300] |
[a1,a2,a3,a4,a6] |
Generators |
[-200:270:1] |
Generators of the group modulo torsion |
j |
65567831132224/1842183 |
j-invariant |
L |
9.2313487829141 |
L(r)(E,1)/r! |
Ω |
1.001853986216 |
Real period |
R |
4.6071328297308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000209 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608bx1 38304br2 25536q1 |
Quadratic twists by: -4 8 -3 |