Atkin-Lehner |
5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65065h |
Isogeny class |
Conductor |
65065 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-12367129349575 = -1 · 52 · 7 · 114 · 136 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6200,254411] |
[a1,a2,a3,a4,a6] |
j |
-5461074081/2562175 |
j-invariant |
L |
1.3298823842109 |
L(r)(E,1)/r! |
Ω |
0.66494119156616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
385a1 |
Quadratic twists by: 13 |