Atkin-Lehner |
2- 3+ 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
108240bk |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1532160 |
Modular degree for the optimal curve |
Δ |
-104104303124152320 = -1 · 217 · 37 · 5 · 116 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 11- -4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,71720,13626352] |
[a1,a2,a3,a4,a6] |
j |
9960440635264679/25416089629920 |
j-invariant |
L |
2.8142807413022 |
L(r)(E,1)/r! |
Ω |
0.2345233676919 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13530h1 |
Quadratic twists by: -4 |