Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
113600j |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
454400000000 = 214 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 4 -4 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38033,-2842063] |
[a1,a2,a3,a4,a6] |
Generators |
[-2219467389300:197045367911:19683000000] |
Generators of the group modulo torsion |
j |
23767139536/1775 |
j-invariant |
L |
12.928797745835 |
L(r)(E,1)/r! |
Ω |
0.34186953669015 |
Real period |
R |
18.908964308688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008378 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113600cn2 7100a2 22720d2 |
Quadratic twists by: -4 8 5 |