Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
87362ba |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
300960 |
Modular degree for the optimal curve |
Δ |
-312361691450072 = -1 · 23 · 112 · 199 |
Discriminant |
Eigenvalues |
2- -1 2 4 11- -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11003,-720477] |
[a1,a2,a3,a4,a6] |
Generators |
[958111:25495312:1331] |
Generators of the group modulo torsion |
j |
3773/8 |
j-invariant |
L |
11.164267786747 |
L(r)(E,1)/r! |
Ω |
0.28293163451519 |
Real period |
R |
6.576540298152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87362e1 87362d1 |
Quadratic twists by: -11 -19 |