Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800fb |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-147000000000000 = -1 · 212 · 3 · 512 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-82133,-9051363] |
[a1,a2,a3,a4,a6] |
Generators |
[2159607065308:-179202821616925:313046839] |
Generators of the group modulo torsion |
j |
-19539165184/46875 |
j-invariant |
L |
5.7225121245017 |
L(r)(E,1)/r! |
Ω |
0.14098641857765 |
Real period |
R |
20.294551000847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3675i2 11760cn2 58800hp2 |
Quadratic twists by: -4 5 -7 |