Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970m |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3153920 |
Modular degree for the optimal curve |
Δ |
-1.758171978109E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6421410,-6293964384] |
[a1,a2,a3,a4,a6] |
Generators |
[1010450862:160687980819:39304] |
Generators of the group modulo torsion |
j |
-995417019118423/5976562500 |
j-invariant |
L |
4.3956549912002 |
L(r)(E,1)/r! |
Ω |
0.047403029139713 |
Real period |
R |
11.591176428611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990ce1 74970bv1 |
Quadratic twists by: -3 -7 |