Atkin-Lehner |
3+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
128877k |
Isogeny class |
Conductor |
128877 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2177280 |
Modular degree for the optimal curve |
Δ |
1098104368243874229 = 36 · 73 · 173 · 197 |
Discriminant |
Eigenvalues |
0 3+ -3 7- 0 1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1154237,-474244273] |
[a1,a2,a3,a4,a6] |
Generators |
[-5254:2523:8] [-613:1606:1] |
Generators of the group modulo torsion |
j |
3614826507010048/23341137309 |
j-invariant |
L |
7.2988161219926 |
L(r)(E,1)/r! |
Ω |
0.14571180000906 |
Real period |
R |
0.69570512559739 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6783f1 |
Quadratic twists by: -19 |