Atkin-Lehner |
2+ 3+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75840c |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2839904640000000000 = 216 · 32 · 510 · 793 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42060161,105005579265] |
[a1,a2,a3,a4,a6] |
Generators |
[-7351:130032:1] |
Generators of the group modulo torsion |
j |
125561525686402511226244/43333505859375 |
j-invariant |
L |
5.7841439988262 |
L(r)(E,1)/r! |
Ω |
0.20556638213276 |
Real period |
R |
7.0343992274235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000329 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75840cg2 9480e2 |
Quadratic twists by: -4 8 |