Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17850bm |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-149880024000000000 = -1 · 212 · 33 · 59 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,123487,8296031] |
[a1,a2,a3,a4,a6] |
Generators |
[185:6032:1] |
Generators of the group modulo torsion |
j |
106624540661059/76738572288 |
j-invariant |
L |
5.9356435925773 |
L(r)(E,1)/r! |
Ω |
0.20672638681765 |
Real period |
R |
1.1963566278658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550cg1 17850z1 124950ja1 |
Quadratic twists by: -3 5 -7 |