Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
60840u |
Isogeny class |
Conductor |
60840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
54804574827325440 = 211 · 38 · 5 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-304707,-63752546] |
[a1,a2,a3,a4,a6] |
Generators |
[4441710:166556767:2744] |
Generators of the group modulo torsion |
j |
434163602/7605 |
j-invariant |
L |
7.32250064298 |
L(r)(E,1)/r! |
Ω |
0.20341853928553 |
Real period |
R |
8.9993034418002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000146 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680bl2 20280w2 4680p2 |
Quadratic twists by: -4 -3 13 |