Atkin-Lehner |
2+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
92450q |
Isogeny class |
Conductor |
92450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1596672 |
Modular degree for the optimal curve |
Δ |
-3740224088832320000 = -1 · 29 · 54 · 438 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 -5 -2 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,253275,79168525] |
[a1,a2,a3,a4,a6] |
Generators |
[1071:39218:1] |
Generators of the group modulo torsion |
j |
454786175/946688 |
j-invariant |
L |
3.3927521072464 |
L(r)(E,1)/r! |
Ω |
0.17222969013463 |
Real period |
R |
1.6415830687327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999650707 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92450ba1 2150q1 |
Quadratic twists by: 5 -43 |