Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050bv |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
18214183681200 = 24 · 313 · 52 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 5 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8397,215541] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:531:1] [-42:723:1] |
Generators of the group modulo torsion |
j |
125801065/34992 |
j-invariant |
L |
7.6859648518002 |
L(r)(E,1)/r! |
Ω |
0.64260851442809 |
Real period |
R |
0.49835713082721 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998799 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350da1 76050ga1 76050ez1 |
Quadratic twists by: -3 5 13 |