Atkin-Lehner |
2+ 3+ 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450g |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1958400 |
Modular degree for the optimal curve |
Δ |
-2263812561035156250 = -1 · 2 · 35 · 516 · 73 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -4 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,181850,66025750] |
[a1,a2,a3,a4,a6] |
Generators |
[345:12865:1] |
Generators of the group modulo torsion |
j |
42563748729089951/144884003906250 |
j-invariant |
L |
4.1758657357483 |
L(r)(E,1)/r! |
Ω |
0.18380006858074 |
Real period |
R |
3.7866015438796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18690n1 |
Quadratic twists by: 5 |