Atkin-Lehner |
2+ 3- 13+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
91494i |
Isogeny class |
Conductor |
91494 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
62699312812032 = 212 · 311 · 13 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10359,142429] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:707:1] [-3:418:1] |
Generators of the group modulo torsion |
j |
168644920603249/86007287808 |
j-invariant |
L |
6.6599005636107 |
L(r)(E,1)/r! |
Ω |
0.54908053957581 |
Real period |
R |
3.0322967593732 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000673 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30498n1 |
Quadratic twists by: -3 |