Atkin-Lehner |
2- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
30634h |
Isogeny class |
Conductor |
30634 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-86991798676 = -1 · 22 · 177 · 53 |
Discriminant |
Eigenvalues |
2- 2 1 -1 0 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-295,-14447] |
[a1,a2,a3,a4,a6] |
Generators |
[229729:712292:6859] |
Generators of the group modulo torsion |
j |
-117649/3604 |
j-invariant |
L |
12.446311093568 |
L(r)(E,1)/r! |
Ω |
0.46808884527738 |
Real period |
R |
6.6474085096989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1802d1 |
Quadratic twists by: 17 |