Atkin-Lehner |
3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
92565bl |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1317888 |
Modular degree for the optimal curve |
Δ |
-717839553469540095 = -1 · 36 · 5 · 119 · 174 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11+ -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1152729,478393240] |
[a1,a2,a3,a4,a6] |
j |
-98547108659/417605 |
j-invariant |
L |
1.1475477997579 |
L(r)(E,1)/r! |
Ω |
0.28688694492866 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10285a1 92565bi1 |
Quadratic twists by: -3 -11 |