Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69600u |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
1.0836414140625E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18916658,31660868688] |
[a1,a2,a3,a4,a6] |
Generators |
[493:149850:1] |
Generators of the group modulo torsion |
j |
748612322643635839936/10836414140625 |
j-invariant |
L |
9.3833115906402 |
L(r)(E,1)/r! |
Ω |
0.20797236334752 |
Real period |
R |
3.2227192659767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600be1 13920t1 |
Quadratic twists by: -4 5 |