Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728ba |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-19961217024 = -1 · 219 · 3 · 73 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 4 6 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40481,3148449] |
[a1,a2,a3,a4,a6] |
Generators |
[115:28:1] |
Generators of the group modulo torsion |
j |
-27986475935881/76146 |
j-invariant |
L |
4.9559764581244 |
L(r)(E,1)/r! |
Ω |
1.0564873034042 |
Real period |
R |
0.78183246849371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49728eh1 1554d1 |
Quadratic twists by: -4 8 |