Atkin-Lehner |
3+ 5+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10455a |
Isogeny class |
Conductor |
10455 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1497455089544975625 = 310 · 54 · 176 · 412 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -4 6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-419841,-86761362] |
[a1,a2,a3,a4,a6] |
Generators |
[-596271:6226953:2197] |
Generators of the group modulo torsion |
j |
8184239316175927659409/1497455089544975625 |
j-invariant |
L |
2.1572299562792 |
L(r)(E,1)/r! |
Ω |
0.18991978386306 |
Real period |
R |
11.358637380478 |
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 |
31365d2 52275g2 |
Quadratic twists by: -3 5 |