Atkin-Lehner |
2- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
103684a |
Isogeny class |
Conductor |
103684 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
523908 |
Modular degree for the optimal curve |
Δ |
13654359055089424 = 24 · 78 · 236 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 3 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60482,1061801] |
[a1,a2,a3,a4,a6] |
Generators |
[17:197:1] |
Generators of the group modulo torsion |
j |
1792 |
j-invariant |
L |
5.6691147894596 |
L(r)(E,1)/r! |
Ω |
0.34368852733273 |
Real period |
R |
5.4983066946793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103684g1 196b1 |
Quadratic twists by: -7 -23 |