Atkin-Lehner |
3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
69819b |
Isogeny class |
Conductor |
69819 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
26976960 |
Modular degree for the optimal curve |
Δ |
-6.4405021517299E+26 |
Discriminant |
Eigenvalues |
0 3- 1 -2 -1 -5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1027066695,-12728153943808] |
[a1,a2,a3,a4,a6] |
j |
-46699185669641238052864/251020612686449979 |
j-invariant |
L |
0.45322015184933 |
L(r)(E,1)/r! |
Ω |
0.01333000476283 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1887b1 |
Quadratic twists by: 37 |