Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
80400t |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3773952 |
Modular degree for the optimal curve |
Δ |
-4153147642080000 = -1 · 28 · 318 · 54 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 -6 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11522508,15058421712] |
[a1,a2,a3,a4,a6] |
Generators |
[816:78732:1] |
Generators of the group modulo torsion |
j |
-1057413430346007240400/25957172763 |
j-invariant |
L |
2.2353771866908 |
L(r)(E,1)/r! |
Ω |
0.31861299611138 |
Real period |
R |
1.753990905051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999867996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40200bl1 80400ba1 |
Quadratic twists by: -4 5 |