Atkin-Lehner |
2- 3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370dr |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
41257527796800 = 26 · 32 · 52 · 79 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-113240,-14673408] |
[a1,a2,a3,a4,a6] |
Generators |
[484:6388:1] |
Generators of the group modulo torsion |
j |
3979616050423/1022400 |
j-invariant |
L |
13.246539059345 |
L(r)(E,1)/r! |
Ω |
0.26025930462144 |
Real period |
R |
4.2414554786325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013532 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104370cf1 |
Quadratic twists by: -7 |