Atkin-Lehner |
5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65065k |
Isogeny class |
Conductor |
65065 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30046464 |
Modular degree for the optimal curve |
Δ |
-6.9384079605069E+26 |
Discriminant |
Eigenvalues |
2 0 5+ 7- 11+ 13+ -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-187912283,1609077857299] |
[a1,a2,a3,a4,a6] |
j |
-152029933359345706438656/143747307185904296875 |
j-invariant |
L |
0.37156857314512 |
L(r)(E,1)/r! |
Ω |
0.046446072938753 |
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 |
5005c1 |
Quadratic twists by: 13 |