Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970be |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8675243139150000000 = 27 · 36 · 58 · 77 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-609042030,5785360687700] |
[a1,a2,a3,a4,a6] |
j |
291306206119284545407569/101150000000 |
j-invariant |
L |
2.2201898414378 |
L(r)(E,1)/r! |
Ω |
0.13876186387521 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8330v3 10710j3 |
Quadratic twists by: -3 -7 |