Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650bz |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-248651648437500 = -1 · 22 · 310 · 59 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15633,94041] |
[a1,a2,a3,a4,a6] |
j |
296740963/174636 |
j-invariant |
L |
1.3475990718593 |
L(r)(E,1)/r! |
Ω |
0.3368997679664 |
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 |
11550ct1 34650du1 |
Quadratic twists by: -3 5 |