Atkin-Lehner |
2+ 3- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080t |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
23781669120 = 28 · 33 · 5 · 114 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2276,40380] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:264:1] [31:24:1] |
Generators of the group modulo torsion |
j |
5095552972624/92897145 |
j-invariant |
L |
13.573338082289 |
L(r)(E,1)/r! |
Ω |
1.2002301512857 |
Real period |
R |
1.8848243495473 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999978373 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62040m1 |
Quadratic twists by: -4 |