Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
8925i |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
197595734765625 = 36 · 58 · 74 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35088,-2452344] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:312:1] |
Generators of the group modulo torsion |
j |
305759741604409/12646127025 |
j-invariant |
L |
2.1917076488108 |
L(r)(E,1)/r! |
Ω |
0.34971716945058 |
Real period |
R |
1.5667715516042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26775bk2 1785i2 62475bv2 |
Quadratic twists by: -3 5 -7 |