Atkin-Lehner |
2- 3- 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
40470bg |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-24188446310400 = -1 · 222 · 32 · 52 · 192 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9706,-438364] |
[a1,a2,a3,a4,a6] |
Generators |
[196:2182:1] |
Generators of the group modulo torsion |
j |
-101122400275390369/24188446310400 |
j-invariant |
L |
10.409985076694 |
L(r)(E,1)/r! |
Ω |
0.23749260836705 |
Real period |
R |
0.99620182519198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410n1 |
Quadratic twists by: -3 |