Atkin-Lehner |
3+ 5+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
77775a |
Isogeny class |
Conductor |
77775 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-34025347265625 = -1 · 34 · 58 · 172 · 612 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 -4 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8100,10125] |
[a1,a2,a3,a4,a6] |
Generators |
[20:415:1] |
Generators of the group modulo torsion |
j |
3760754329151/2177622225 |
j-invariant |
L |
4.981192771968 |
L(r)(E,1)/r! |
Ω |
0.39210408312405 |
Real period |
R |
1.5879689169448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004623 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15555b2 |
Quadratic twists by: 5 |