Atkin-Lehner |
2+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110656u |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1615129664512 = -1 · 210 · 72 · 13 · 195 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 0 13- 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-250257,48103447] |
[a1,a2,a3,a4,a6] |
Generators |
[274:423:1] |
Generators of the group modulo torsion |
j |
-1692716365696398592/1577275063 |
j-invariant |
L |
5.8092867024773 |
L(r)(E,1)/r! |
Ω |
0.70641344993209 |
Real period |
R |
4.1118177473353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999968504 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110656bg1 13832e1 |
Quadratic twists by: -4 8 |