Atkin-Lehner |
2+ 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
18960d |
Isogeny class |
Conductor |
18960 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
44373510000000000 = 210 · 32 · 510 · 793 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10515040,-13120439888] |
[a1,a2,a3,a4,a6] |
Generators |
[4254:138250:1] |
Generators of the group modulo torsion |
j |
125561525686402511226244/43333505859375 |
j-invariant |
L |
4.3621629910953 |
L(r)(E,1)/r! |
Ω |
0.083839142541966 |
Real period |
R |
1.7343382652527 |
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 |
9480e2 75840cg2 56880l2 94800t2 |
Quadratic twists by: -4 8 -3 5 |