Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950br |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-1128527036388864000 = -1 · 212 · 33 · 53 · 710 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,242035,-22522275] |
[a1,a2,a3,a4,a6] |
Generators |
[28314:4750995:1] |
Generators of the group modulo torsion |
j |
106624540661059/76738572288 |
j-invariant |
L |
3.85488230561 |
L(r)(E,1)/r! |
Ω |
0.15459704738858 |
Real period |
R |
6.233757840675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000208554 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124950ja1 17850z1 |
Quadratic twists by: 5 -7 |