Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13800m |
Isogeny class |
Conductor |
13800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-134323680000000 = -1 · 211 · 3 · 57 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11592,-279312] |
[a1,a2,a3,a4,a6] |
Generators |
[203972:11523375:64] |
Generators of the group modulo torsion |
j |
5382838942/4197615 |
j-invariant |
L |
6.0110167596806 |
L(r)(E,1)/r! |
Ω |
0.32506614116315 |
Real period |
R |
9.2458364598847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27600b3 110400z3 41400bm3 2760d4 |
Quadratic twists by: -4 8 -3 5 |