Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950z |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
30600504900000000 = 28 · 32 · 58 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1666025,-828346875] |
[a1,a2,a3,a4,a6] |
Generators |
[2850:131175:1] |
Generators of the group modulo torsion |
j |
278202094583041/16646400 |
j-invariant |
L |
4.0133124743009 |
L(r)(E,1)/r! |
Ω |
0.13288645056887 |
Real period |
R |
3.7751331966281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000166705 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24990bx2 2550h2 |
Quadratic twists by: 5 -7 |