Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400eq |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4308215040000000 = 214 · 311 · 57 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1772928075,28733252512250] |
[a1,a2,a3,a4,a6] |
Generators |
[83404763:8826231526:2197] |
Generators of the group modulo torsion |
j |
13209596798923694545921/92340 |
j-invariant |
L |
8.3139425441435 |
L(r)(E,1)/r! |
Ω |
0.1462736060377 |
Real period |
R |
14.209574046842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997335 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8550bh3 22800bv4 13680bd4 |
Quadratic twists by: -4 -3 5 |