Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970bt |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
541976872500 = 22 · 37 · 54 · 73 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3474,71280] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-183:1] [-54:342:1] |
Generators of the group modulo torsion |
j |
18546494023/2167500 |
j-invariant |
L |
8.3089968167268 |
L(r)(E,1)/r! |
Ω |
0.89356072305286 |
Real period |
R |
0.29058590404108 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999534 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990ca2 74970bc2 |
Quadratic twists by: -3 -7 |