Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040cq |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-145380529811862000 = -1 · 24 · 311 · 53 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-573087,-167990209] |
[a1,a2,a3,a4,a6] |
Generators |
[1037:18785:1] [1105:23409:1] |
Generators of the group modulo torsion |
j |
-73934023936/516375 |
j-invariant |
L |
12.431750801771 |
L(r)(E,1)/r! |
Ω |
0.086722786810494 |
Real period |
R |
1.4932338887001 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997814 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680a1 6120u1 |
Quadratic twists by: -3 17 |