Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850hi |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-16051367784375000 = -1 · 23 · 34 · 58 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 3 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5487,6094017] |
[a1,a2,a3,a4,a6] |
j |
397535/349272 |
j-invariant |
L |
7.3438059897965 |
L(r)(E,1)/r! |
Ω |
0.30599191850078 |
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 |
80850t1 11550cb1 |
Quadratic twists by: 5 -7 |