Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970dg |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
4915200 |
Modular degree for the optimal curve |
Δ |
-9.2607766703355E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-232637,4630268549] |
[a1,a2,a3,a4,a6] |
Generators |
[-243:68476:1] |
Generators of the group modulo torsion |
j |
-16234636151161/107977095878400 |
j-invariant |
L |
11.406455397932 |
L(r)(E,1)/r! |
Ω |
0.10392189462843 |
Real period |
R |
3.4299964646375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000321 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990z1 10710y1 |
Quadratic twists by: -3 -7 |