Atkin-Lehner |
2+ 3- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
23634c |
Isogeny class |
Conductor |
23634 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49280 |
Modular degree for the optimal curve |
Δ |
-55733246539776 = -1 · 211 · 313 · 132 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 1 0 0 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5301,325701] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:531:1] |
Generators of the group modulo torsion |
j |
22595580946511/76451641344 |
j-invariant |
L |
4.1212347034029 |
L(r)(E,1)/r! |
Ω |
0.44493473361983 |
Real period |
R |
2.3156400208824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7878f1 |
Quadratic twists by: -3 |