Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970bj |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
7096320 |
Modular degree for the optimal curve |
Δ |
-2.0399508052569E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 1 3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38624994,92430692500] |
[a1,a2,a3,a4,a6] |
Generators |
[3761:16862:1] |
Generators of the group modulo torsion |
j |
-1516411763988487009/485409024000 |
j-invariant |
L |
5.2716906497493 |
L(r)(E,1)/r! |
Ω |
0.14413735908952 |
Real period |
R |
1.0159465409621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24990bk1 74970z1 |
Quadratic twists by: -3 -7 |