Atkin-Lehner |
2+ 3- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
91902l |
Isogeny class |
Conductor |
91902 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
678797005068828 = 22 · 33 · 179 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 -2 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22115,174098] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:880:1] |
Generators of the group modulo torsion |
j |
49552182217/28122012 |
j-invariant |
L |
6.2702804109935 |
L(r)(E,1)/r! |
Ω |
0.43855634207392 |
Real period |
R |
1.1914623453663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938782 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5406c1 |
Quadratic twists by: 17 |