Atkin-Lehner |
2+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
64960h |
Isogeny class |
Conductor |
64960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-164836000000000000 = -1 · 214 · 512 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -6 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-603121,181539345] |
[a1,a2,a3,a4,a6] |
Generators |
[75795:774648:125] |
Generators of the group modulo torsion |
j |
-1480873099339005136/10060791015625 |
j-invariant |
L |
7.8028815655427 |
L(r)(E,1)/r! |
Ω |
0.32445500234062 |
Real period |
R |
6.0122987082381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996503 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64960be2 4060g2 |
Quadratic twists by: -4 8 |