Atkin-Lehner |
2+ 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890cf |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-9749892635280 = -1 · 24 · 36 · 5 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 3 0 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3666,122660] |
[a1,a2,a3,a4,a6] |
Generators |
[184:2554:1] |
Generators of the group modulo torsion |
j |
1296351/2320 |
j-invariant |
L |
6.1828603572386 |
L(r)(E,1)/r! |
Ω |
0.49865547930498 |
Real period |
R |
1.0332551777097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000140091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14210l1 127890bm1 |
Quadratic twists by: -3 -7 |