Atkin-Lehner |
2+ 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970bl |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7257600 |
Modular degree for the optimal curve |
Δ |
-1.1705250413445E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -1 1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42221349,105619094293] |
[a1,a2,a3,a4,a6] |
j |
-1980652037510828689/278528000000 |
j-invariant |
L |
1.7846223042159 |
L(r)(E,1)/r! |
Ω |
0.14871852603778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330o1 74970s1 |
Quadratic twists by: -3 -7 |