Atkin-Lehner |
2- 3+ 37+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
129648o |
Isogeny class |
Conductor |
129648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
78529797439488 = 214 · 32 · 372 · 733 |
Discriminant |
Eigenvalues |
2- 3+ 4 -2 -2 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-130856,18258288] |
[a1,a2,a3,a4,a6] |
j |
60498973375156009/19172313828 |
j-invariant |
L |
2.391385377905 |
L(r)(E,1)/r! |
Ω |
0.59784630672114 |
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 |
16206d1 |
Quadratic twists by: -4 |