Atkin-Lehner |
5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
75295j |
Isogeny class |
Conductor |
75295 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-9411875 = -1 · 54 · 11 · 372 |
Discriminant |
Eigenvalues |
-1 -3 5- -2 11+ 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72,294] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-14:1] [-8:21:1] |
Generators of the group modulo torsion |
j |
-29761209/6875 |
j-invariant |
L |
4.0270309226205 |
L(r)(E,1)/r! |
Ω |
2.1989421964615 |
Real period |
R |
0.45783728752408 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75295b1 |
Quadratic twists by: 37 |