Atkin-Lehner |
2+ 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109368a |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
166656 |
Modular degree for the optimal curve |
Δ |
1235235439872 = 28 · 33 · 78 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 3 6 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4116,86436] |
[a1,a2,a3,a4,a6] |
Generators |
[0:-294:1] |
Generators of the group modulo torsion |
j |
193536/31 |
j-invariant |
L |
6.935492093733 |
L(r)(E,1)/r! |
Ω |
0.82520084242538 |
Real period |
R |
0.3501921264455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999821895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109368bc1 109368f1 |
Quadratic twists by: -3 -7 |