Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970cf |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-15661191525396480 = -1 · 212 · 33 · 5 · 78 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,53278,-3734559] |
[a1,a2,a3,a4,a6] |
j |
5265299629773/4930293760 |
j-invariant |
L |
5.1544370689041 |
L(r)(E,1)/r! |
Ω |
0.21476821106067 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970d3 10710r1 |
Quadratic twists by: -3 -7 |