Atkin-Lehner |
2- 3- 5+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850ch |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-4381875000 = -1 · 23 · 32 · 57 · 19 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 3 -7 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-88,-3208] |
[a1,a2,a3,a4,a6] |
Generators |
[22:64:1] |
Generators of the group modulo torsion |
j |
-4826809/280440 |
j-invariant |
L |
14.6989770901 |
L(r)(E,1)/r! |
Ω |
0.60674326034792 |
Real period |
R |
1.00941768371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037343 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23370b1 |
Quadratic twists by: 5 |