Atkin-Lehner |
2- 3+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450cf |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-67967859375000 = -1 · 23 · 39 · 59 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 3 13+ 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7805,479197] |
[a1,a2,a3,a4,a6] |
j |
-1367631/1768 |
j-invariant |
L |
6.6946443282989 |
L(r)(E,1)/r! |
Ω |
0.55788703352408 |
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 |
99450h1 99450j1 |
Quadratic twists by: -3 5 |