Atkin-Lehner |
2+ 3- 7+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18354g |
Isogeny class |
Conductor |
18354 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
279552 |
Modular degree for the optimal curve |
Δ |
-550842545627136 = -1 · 213 · 37 · 7 · 192 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -2 5 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2070583,-1146971110] |
[a1,a2,a3,a4,a6] |
Generators |
[3490:183020:1] |
Generators of the group modulo torsion |
j |
-981750978256503859384681/550842545627136 |
j-invariant |
L |
4.6953130832608 |
L(r)(E,1)/r! |
Ω |
0.062928359265743 |
Real period |
R |
5.3295447372291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55062bg1 128478c1 |
Quadratic twists by: -3 -7 |