Atkin-Lehner |
2+ 3+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768k |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-40158156932775936 = -1 · 220 · 36 · 175 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -1 1 -2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-89505,-14083551] |
[a1,a2,a3,a4,a6] |
Generators |
[2511:124848:1] |
Generators of the group modulo torsion |
j |
-302503589987689/153191211444 |
j-invariant |
L |
5.8168078681486 |
L(r)(E,1)/r! |
Ω |
0.13478015931962 |
Real period |
R |
2.1578872873321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035313 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768do1 3774k1 |
Quadratic twists by: -4 8 |