Atkin-Lehner |
2- 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
93800bc |
Isogeny class |
Conductor |
93800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59328 |
Modular degree for the optimal curve |
Δ |
-78824830000 = -1 · 24 · 54 · 76 · 67 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 0 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,917,-7962] |
[a1,a2,a3,a4,a6] |
Generators |
[74:686:1] |
Generators of the group modulo torsion |
j |
8518400000/7882483 |
j-invariant |
L |
3.8006604721013 |
L(r)(E,1)/r! |
Ω |
0.59419680095111 |
Real period |
R |
1.5990747809292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999864825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93800l1 |
Quadratic twists by: 5 |