Atkin-Lehner |
2+ 3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22770b |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
309525279592320000 = 210 · 33 · 54 · 112 · 236 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -6 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10231635,12599487541] |
[a1,a2,a3,a4,a6] |
Generators |
[-1197:152686:1] [390:92909:1] |
Generators of the group modulo torsion |
j |
4387277334143883722472747/11463899244160000 |
j-invariant |
L |
5.4215618371267 |
L(r)(E,1)/r! |
Ω |
0.26551025833375 |
Real period |
R |
0.85080859511004 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22770be2 113850dc2 |
Quadratic twists by: -3 5 |