Atkin-Lehner |
2+ 3+ 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
118992h |
Isogeny class |
Conductor |
118992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
109273929071616 = 210 · 316 · 37 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55072,-4930640] |
[a1,a2,a3,a4,a6] |
Generators |
[-9869292781631965:-11571800534063154:72694449740375] |
Generators of the group modulo torsion |
j |
18039487177093252/106712821359 |
j-invariant |
L |
6.6309418232995 |
L(r)(E,1)/r! |
Ω |
0.31176037150379 |
Real period |
R |
21.26935427428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049924 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59496h3 |
Quadratic twists by: -4 |