Atkin-Lehner |
3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75075bn |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
1132496365391015625 = 310 · 58 · 74 · 112 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-322713,-48581208] |
[a1,a2,a3,a4,a6] |
Generators |
[1017:-26496:1] |
Generators of the group modulo torsion |
j |
237877383098883529/72479767385025 |
j-invariant |
L |
5.0237244564815 |
L(r)(E,1)/r! |
Ω |
0.20505066785695 |
Real period |
R |
0.61249793852035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004573 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15015b2 |
Quadratic twists by: 5 |