Atkin-Lehner |
2- 3- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
27306h |
Isogeny class |
Conductor |
27306 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
848476498176 = 28 · 310 · 372 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 0 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2399,-8377] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:196:1] |
Generators of the group modulo torsion |
j |
2093713241257/1163890944 |
j-invariant |
L |
9.4685472251873 |
L(r)(E,1)/r! |
Ω |
0.73152834026837 |
Real period |
R |
1.6179392348821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9102c1 |
Quadratic twists by: -3 |