Atkin-Lehner |
2+ 3- 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21930j |
Isogeny class |
Conductor |
21930 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
257040000 |
Modular degree for the optimal curve |
Δ |
1.5020211625529E+33 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 -7 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-269615224584,-53852358846980618] |
[a1,a2,a3,a4,a6] |
j |
2167489232916550298498135256818779540729/1502021162552927601049804687500000 |
j-invariant |
L |
1.1926253107875 |
L(r)(E,1)/r! |
Ω |
0.0066256961710415 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65790cn1 109650cd1 |
Quadratic twists by: -3 5 |