Atkin-Lehner |
2+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
17200h |
Isogeny class |
Conductor |
17200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-50884480000 = -1 · 210 · 54 · 433 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -1 1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3275,-72950] |
[a1,a2,a3,a4,a6] |
Generators |
[69:172:1] |
Generators of the group modulo torsion |
j |
-6069845700/79507 |
j-invariant |
L |
4.0824808800839 |
L(r)(E,1)/r! |
Ω |
0.31530307556677 |
Real period |
R |
1.0789832588707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8600c1 68800dx1 17200a1 |
Quadratic twists by: -4 8 5 |