Atkin-Lehner |
2+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
61936f |
Isogeny class |
Conductor |
61936 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-1996593561685968896 = -1 · 211 · 711 · 793 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- 3 -3 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34904,-68018096] |
[a1,a2,a3,a4,a6] |
Generators |
[6970:189679:8] |
Generators of the group modulo torsion |
j |
-19518370706/8286506473 |
j-invariant |
L |
3.2314736957933 |
L(r)(E,1)/r! |
Ω |
0.11763324306505 |
Real period |
R |
1.1446146839605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30968a1 8848a1 |
Quadratic twists by: -4 -7 |