Atkin-Lehner |
2+ 3+ 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
64050a |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6156167751562500 = 22 · 32 · 58 · 76 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-46025,-459375] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:1730:1] |
Generators of the group modulo torsion |
j |
690080604747409/393994736100 |
j-invariant |
L |
3.5819525955542 |
L(r)(E,1)/r! |
Ω |
0.35287191122917 |
Real period |
R |
2.5377144515716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002329 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12810t2 |
Quadratic twists by: 5 |