Atkin-Lehner |
2- 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150em |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1046400 |
Modular degree for the optimal curve |
Δ |
-3623963139843750 = -1 · 2 · 33 · 58 · 112 · 175 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11+ 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-663680,208292697] |
[a1,a2,a3,a4,a6] |
Generators |
[-4290:164083:8] |
Generators of the group modulo torsion |
j |
-3065317685686755/343605394 |
j-invariant |
L |
12.255013563992 |
L(r)(E,1)/r! |
Ω |
0.42604537459426 |
Real period |
R |
7.1911434187818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150z1 84150g1 |
Quadratic twists by: -3 5 |