Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608br |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
103804352766148608 = 218 · 311 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -2 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-121260,4884784] |
[a1,a2,a3,a4,a6] |
Generators |
[-360:1372:1] |
Generators of the group modulo torsion |
j |
1031831907625/543185433 |
j-invariant |
L |
6.2603377670155 |
L(r)(E,1)/r! |
Ω |
0.2943944473424 |
Real period |
R |
2.6581419178057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000343 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608eq1 1197d1 25536bg1 |
Quadratic twists by: -4 8 -3 |