Atkin-Lehner |
3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8925u |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-86098359375 = -1 · 33 · 57 · 74 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,787,-11208] |
[a1,a2,a3,a4,a6] |
Generators |
[37:244:1] |
Generators of the group modulo torsion |
j |
3449795831/5510295 |
j-invariant |
L |
2.8736948076782 |
L(r)(E,1)/r! |
Ω |
0.56826319910506 |
Real period |
R |
1.6856595161091 |
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 |
26775v1 1785b1 62475i1 |
Quadratic twists by: -3 5 -7 |