Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400dy |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
276 |
Product of Tamagawa factors cp |
deg |
6955200 |
Modular degree for the optimal curve |
Δ |
-8.3908836199445E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -2 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-140720208,779092413588] |
[a1,a2,a3,a4,a6] |
Generators |
[146658:55987200:1] |
Generators of the group modulo torsion |
j |
-192607474931043120625/52443022624653312 |
j-invariant |
L |
6.9076557225066 |
L(r)(E,1)/r! |
Ω |
0.057666324741967 |
Real period |
R |
0.43400959289521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2550z1 81600ho1 61200gv1 20400bz1 |
Quadratic twists by: -4 8 -3 5 |