Atkin-Lehner |
2+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
87362m |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
115259289288704 = 214 · 117 · 192 |
Discriminant |
Eigenvalues |
2+ 0 -3 -3 11- 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40376,-3069632] |
[a1,a2,a3,a4,a6] |
Generators |
[432:-7960:1] |
Generators of the group modulo torsion |
j |
11382465033/180224 |
j-invariant |
L |
1.9975586941163 |
L(r)(E,1)/r! |
Ω |
0.33712038143421 |
Real period |
R |
1.4813393122866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7942o1 87362w1 |
Quadratic twists by: -11 -19 |