Atkin-Lehner |
2+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96746d |
Isogeny class |
Conductor |
96746 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
453600 |
Modular degree for the optimal curve |
Δ |
-85729902936704 = -1 · 27 · 13 · 616 |
Discriminant |
Eigenvalues |
2+ -3 -1 -1 2 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10000,591232] |
[a1,a2,a3,a4,a6] |
Generators |
[-242:7563:8] |
Generators of the group modulo torsion |
j |
-2146689/1664 |
j-invariant |
L |
2.48305963853 |
L(r)(E,1)/r! |
Ω |
0.55654526131891 |
Real period |
R |
2.2307795937664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058858 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26b1 |
Quadratic twists by: 61 |