Atkin-Lehner |
2+ 7+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
17794a |
Isogeny class |
Conductor |
17794 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
245280 |
Modular degree for the optimal curve |
Δ |
-1.060834280224E+19 |
Discriminant |
Eigenvalues |
2+ -1 1 7+ 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,545543,22647077] |
[a1,a2,a3,a4,a6] |
Generators |
[1307131:81569454:343] |
Generators of the group modulo torsion |
j |
17955993150647218777319/10608342802239881216 |
j-invariant |
L |
2.8810302377583 |
L(r)(E,1)/r! |
Ω |
0.13882932161484 |
Real period |
R |
10.376159028391 |
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 |
124558j1 |
Quadratic twists by: -7 |