Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400fk |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
678297600000000 = 223 · 32 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6280033,6059559937] |
[a1,a2,a3,a4,a6] |
Generators |
[907:33300:1] [1453:-384:1] |
Generators of the group modulo torsion |
j |
6687281588245201/165600 |
j-invariant |
L |
10.088794490452 |
L(r)(E,1)/r! |
Ω |
0.37068435900493 |
Real period |
R |
3.4020839580526 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000276 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400dn2 27600cg2 22080cq2 |
Quadratic twists by: -4 8 5 |