Atkin-Lehner |
2+ 7+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
95942d |
Isogeny class |
Conductor |
95942 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
101808 |
Modular degree for the optimal curve |
Δ |
-1365785123318 = -1 · 2 · 78 · 113 · 89 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 11- 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1822,-63246] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-2:1] |
Generators of the group modulo torsion |
j |
-116069625/236918 |
j-invariant |
L |
4.5670265045734 |
L(r)(E,1)/r! |
Ω |
0.34303674160316 |
Real period |
R |
4.4378399716011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95942n1 |
Quadratic twists by: -7 |