Atkin-Lehner |
2- 3+ 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
48348c |
Isogeny class |
Conductor |
48348 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8352 |
Modular degree for the optimal curve |
Δ |
9862992 = 24 · 33 · 172 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 6 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-96,329] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:17:1] |
Generators of the group modulo torsion |
j |
226492416/22831 |
j-invariant |
L |
6.0012582993519 |
L(r)(E,1)/r! |
Ω |
2.2287178378561 |
Real period |
R |
0.89756513773995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48348a1 |
Quadratic twists by: -3 |