Atkin-Lehner |
2- 3- 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
104880de |
Isogeny class |
Conductor |
104880 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-2482731442176000 = -1 · 216 · 3 · 53 · 192 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,33840,-67692] |
[a1,a2,a3,a4,a6] |
Generators |
[578:14592:1] |
Generators of the group modulo torsion |
j |
1046265713181359/606135606000 |
j-invariant |
L |
9.6908854715219 |
L(r)(E,1)/r! |
Ω |
0.27219255442968 |
Real period |
R |
2.9669209304482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030262 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13110z1 |
Quadratic twists by: -4 |