Atkin-Lehner |
2- 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22320bb |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
2.8759101014016E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 6 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1897587,588694834] |
[a1,a2,a3,a4,a6] |
j |
6832900384593441003/2600468480000000 |
j-invariant |
L |
2.2124259291774 |
L(r)(E,1)/r! |
Ω |
0.15803042351268 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2790c1 89280df1 22320v1 111600cu1 |
Quadratic twists by: -4 8 -3 5 |