Atkin-Lehner |
2+ 3+ 5+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109650a |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-1323505324800 = -1 · 28 · 32 · 52 · 172 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 1 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-87355,9901405] |
[a1,a2,a3,a4,a6] |
Generators |
[-1642:35909:8] [214:925:1] |
Generators of the group modulo torsion |
j |
-2948864218148061985/52940212992 |
j-invariant |
L |
7.6247705485243 |
L(r)(E,1)/r! |
Ω |
0.78828415315486 |
Real period |
R |
0.40302570040844 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999971377 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109650dm1 |
Quadratic twists by: 5 |