Atkin-Lehner |
2+ 7- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76342g |
Isogeny class |
Conductor |
76342 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
24378519886 = 2 · 77 · 192 · 41 |
Discriminant |
Eigenvalues |
2+ 1 3 7- 0 4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3897,-93642] |
[a1,a2,a3,a4,a6] |
Generators |
[-942:776:27] |
Generators of the group modulo torsion |
j |
55611739513/207214 |
j-invariant |
L |
7.7131858084909 |
L(r)(E,1)/r! |
Ω |
0.60440441337238 |
Real period |
R |
3.190407630225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10906e1 |
Quadratic twists by: -7 |