Atkin-Lehner |
7- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
93499f |
Isogeny class |
Conductor |
93499 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
17496 |
Modular degree for the optimal curve |
Δ |
-4581451 = -1 · 73 · 192 · 37 |
Discriminant |
Eigenvalues |
0 2 -3 7- -3 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,13,97] |
[a1,a2,a3,a4,a6] |
Generators |
[1:10:1] |
Generators of the group modulo torsion |
j |
622592/12691 |
j-invariant |
L |
3.9674775245067 |
L(r)(E,1)/r! |
Ω |
1.8282967941812 |
Real period |
R |
0.72334673006558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003846 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93499d1 |
Quadratic twists by: -19 |