Atkin-Lehner |
2+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
73696a |
Isogeny class |
Conductor |
73696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
365568 |
Modular degree for the optimal curve |
Δ |
-17160734882041856 = -1 · 212 · 79 · 473 |
Discriminant |
Eigenvalues |
2+ 1 1 7- -5 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,62655,1833551] |
[a1,a2,a3,a4,a6] |
j |
164566592/103823 |
j-invariant |
L |
1.9358090581075 |
L(r)(E,1)/r! |
Ω |
0.24197613194668 |
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 |
73696n1 73696d1 |
Quadratic twists by: -4 -7 |