Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970i |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
6151038990468750000 = 24 · 39 · 510 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1833099,948248405] |
[a1,a2,a3,a4,a6] |
Generators |
[506:11997:1] |
Generators of the group modulo torsion |
j |
294172502025843/2656250000 |
j-invariant |
L |
6.0343092475576 |
L(r)(E,1)/r! |
Ω |
0.23984273500814 |
Real period |
R |
0.62898603627324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970cc2 1530a2 |
Quadratic twists by: -3 -7 |