Atkin-Lehner |
2- 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
97900b |
Isogeny class |
Conductor |
97900 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
-473836000000 = -1 · 28 · 56 · 113 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 11- -5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74533,-7856937] |
[a1,a2,a3,a4,a6] |
j |
-11447623942144/118459 |
j-invariant |
L |
0.43341419429163 |
L(r)(E,1)/r! |
Ω |
0.14447132412474 |
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 |
3916a1 |
Quadratic twists by: 5 |