Atkin-Lehner |
2- 3+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
71094t |
Isogeny class |
Conductor |
71094 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
264384 |
Modular degree for the optimal curve |
Δ |
-44215513601328 = -1 · 24 · 39 · 174 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 2 -5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8086,158375] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-715:1] |
Generators of the group modulo torsion |
j |
700044875423/529393968 |
j-invariant |
L |
5.0206894830973 |
L(r)(E,1)/r! |
Ω |
0.40972356331958 |
Real period |
R |
0.51057692039681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978651 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71094ba1 |
Quadratic twists by: 17 |