Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73080w |
Isogeny class |
Conductor |
73080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
140313600 = 210 · 33 · 52 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243,1342] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:48:1] |
Generators of the group modulo torsion |
j |
57395628/5075 |
j-invariant |
L |
5.6786034986312 |
L(r)(E,1)/r! |
Ω |
1.7928384518099 |
Real period |
R |
1.5836907929564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997393 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73080d1 |
Quadratic twists by: -3 |