Atkin-Lehner |
2+ 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
34632c |
Isogeny class |
Conductor |
34632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
151328887632 = 24 · 312 · 13 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53310,4737593] |
[a1,a2,a3,a4,a6] |
Generators |
[137:74:1] |
Generators of the group modulo torsion |
j |
1436488814848000/12974013 |
j-invariant |
L |
5.5337033863001 |
L(r)(E,1)/r! |
Ω |
0.92622745330298 |
Real period |
R |
1.4936135197048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69264g1 11544g1 |
Quadratic twists by: -4 -3 |