Atkin-Lehner |
2+ 3+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22770a |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
203517895680 = 210 · 33 · 5 · 112 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3450,-74060] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:25:1] |
Generators of the group modulo torsion |
j |
168224032850427/7537699840 |
j-invariant |
L |
2.9190598494308 |
L(r)(E,1)/r! |
Ω |
0.62465621215579 |
Real period |
R |
2.3365331142363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22770bf1 113850dg1 |
Quadratic twists by: -3 5 |