Atkin-Lehner |
2- 3+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
102414o |
Isogeny class |
Conductor |
102414 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-199092816 = -1 · 24 · 36 · 132 · 101 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 -3 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-49,671] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:10:1] [-7:30:1] |
Generators of the group modulo torsion |
j |
-77086633/1178064 |
j-invariant |
L |
11.521986714259 |
L(r)(E,1)/r! |
Ω |
1.5102354493313 |
Real period |
R |
0.95365814644679 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102414b1 |
Quadratic twists by: 13 |