Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
88218y |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-193699919155328352 = -1 · 25 · 39 · 139 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 3 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,128493,-11611755] |
[a1,a2,a3,a4,a6] |
Generators |
[3707598:43675815:39304] |
Generators of the group modulo torsion |
j |
66676466375/55048032 |
j-invariant |
L |
6.6007437037338 |
L(r)(E,1)/r! |
Ω |
0.17622453756107 |
Real period |
R |
9.3641098355857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29406t1 6786r1 |
Quadratic twists by: -3 13 |