Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69600d |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-108993600000000 = -1 · 212 · 34 · 58 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5967,467937] |
[a1,a2,a3,a4,a6] |
Generators |
[63:1044:1] |
Generators of the group modulo torsion |
j |
367061696/1703025 |
j-invariant |
L |
5.2629905103113 |
L(r)(E,1)/r! |
Ω |
0.42599958346714 |
Real period |
R |
1.5443062371599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000199 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600q2 13920y2 |
Quadratic twists by: -4 5 |