Atkin-Lehner |
3+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
96807b |
Isogeny class |
Conductor |
96807 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-24855100443 = -1 · 32 · 233 · 613 |
Discriminant |
Eigenvalues |
-2 3+ -2 1 3 -5 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,606,-5164] |
[a1,a2,a3,a4,a6] |
Generators |
[77:-702:1] |
Generators of the group modulo torsion |
j |
2019487744/2042829 |
j-invariant |
L |
1.5259230098971 |
L(r)(E,1)/r! |
Ω |
0.64935863465582 |
Real period |
R |
0.19582437665804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96807a1 |
Quadratic twists by: -23 |