Atkin-Lehner |
2- 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400cg |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-6251904000000000 = -1 · 216 · 36 · 59 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69208,7996912] |
[a1,a2,a3,a4,a6] |
Generators |
[178:1134:1] |
Generators of the group modulo torsion |
j |
-4582567781/781488 |
j-invariant |
L |
4.9503836498227 |
L(r)(E,1)/r! |
Ω |
0.40805281478804 |
Real period |
R |
3.0329307081167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10050q1 80400do1 |
Quadratic twists by: -4 5 |