Atkin-Lehner |
2- 3- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
108240bz |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
327193067520000 = 220 · 33 · 54 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58376,5339124] |
[a1,a2,a3,a4,a6] |
Generators |
[124:150:1] |
Generators of the group modulo torsion |
j |
5371235613671689/79881120000 |
j-invariant |
L |
10.561937503212 |
L(r)(E,1)/r! |
Ω |
0.54333129639912 |
Real period |
R |
1.6199351379269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000326 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13530b1 |
Quadratic twists by: -4 |