Atkin-Lehner |
2+ 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110544t |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
123935771440134864 = 24 · 35 · 714 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225759,-37577826] |
[a1,a2,a3,a4,a6] |
Generators |
[-127089955977048:-908789917105855:483366984192] |
Generators of the group modulo torsion |
j |
676009238591488/65839792221 |
j-invariant |
L |
5.2296813401849 |
L(r)(E,1)/r! |
Ω |
0.22039350210007 |
Real period |
R |
23.728836550717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999082396 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55272bf1 15792f1 |
Quadratic twists by: -4 -7 |