Atkin-Lehner |
2+ 3+ 5- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
117150n |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2016000 |
Modular degree for the optimal curve |
Δ |
-2358078727950000000 = -1 · 27 · 32 · 58 · 114 · 713 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- -1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,183925,67432125] |
[a1,a2,a3,a4,a6] |
Generators |
[-265:545:1] [-1570:39835:8] |
Generators of the group modulo torsion |
j |
1761498517909415/6036681543552 |
j-invariant |
L |
7.6298410944903 |
L(r)(E,1)/r! |
Ω |
0.18322809172031 |
Real period |
R |
0.57835026374506 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002766 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117150ca1 |
Quadratic twists by: 5 |