Atkin-Lehner |
2- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
30368b |
Isogeny class |
Conductor |
30368 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
-3887104 = -1 · 212 · 13 · 73 |
Discriminant |
Eigenvalues |
2- -2 3 4 6 13+ 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,31,79] |
[a1,a2,a3,a4,a6] |
j |
778688/949 |
j-invariant |
L |
3.32066452342 |
L(r)(E,1)/r! |
Ω |
1.6603322617111 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30368a1 60736i1 |
Quadratic twists by: -4 8 |