Atkin-Lehner |
3+ 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75075a |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-119336504396484375 = -1 · 34 · 59 · 74 · 11 · 134 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11000,16621875] |
[a1,a2,a3,a4,a6] |
Generators |
[3650:218675:1] |
Generators of the group modulo torsion |
j |
-9422007154561/7637536281375 |
j-invariant |
L |
5.1082702399671 |
L(r)(E,1)/r! |
Ω |
0.26787727804832 |
Real period |
R |
2.3836802611764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998347 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015x1 |
Quadratic twists by: 5 |