Atkin-Lehner |
2- 3- 5+ 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
108630l |
Isogeny class |
Conductor |
108630 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
-30290660775000000 = -1 · 26 · 310 · 58 · 172 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-131153,-20075263] |
[a1,a2,a3,a4,a6] |
Generators |
[7134:187679:8] |
Generators of the group modulo torsion |
j |
-342237635518301641/41550975000000 |
j-invariant |
L |
7.9522608638983 |
L(r)(E,1)/r! |
Ω |
0.12458908643402 |
Real period |
R |
2.6594961965872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034854 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36210n1 |
Quadratic twists by: -3 |