Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690bd |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
54701945257285350 = 2 · 37 · 52 · 298 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-265073,-51242853] |
[a1,a2,a3,a4,a6] |
Generators |
[234452:13923237:64] |
Generators of the group modulo torsion |
j |
4750104241/126150 |
j-invariant |
L |
9.7546152794737 |
L(r)(E,1)/r! |
Ω |
0.21074742042421 |
Real period |
R |
5.7857263786152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25230d2 2610d2 |
Quadratic twists by: -3 29 |