Atkin-Lehner |
3+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30525d |
Isogeny class |
Conductor |
30525 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
23294390625 = 32 · 56 · 112 · 372 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-988,-9844] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:45:1] |
Generators of the group modulo torsion |
j |
6826561273/1490841 |
j-invariant |
L |
3.5572664345727 |
L(r)(E,1)/r! |
Ω |
0.86477793710266 |
Real period |
R |
2.0567513820317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
91575bd2 1221a2 |
Quadratic twists by: -3 5 |