Atkin-Lehner |
2+ 3- 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
108072f |
Isogeny class |
Conductor |
108072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15510528 |
Modular degree for the optimal curve |
Δ |
-1.6234378065674E+23 |
Discriminant |
Eigenvalues |
2+ 3- -4 1 -3 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29350227,64198717630] |
[a1,a2,a3,a4,a6] |
Generators |
[-337:272124:1] |
Generators of the group modulo torsion |
j |
-3745679556779205947716/217474414674344253 |
j-invariant |
L |
5.2418142584431 |
L(r)(E,1)/r! |
Ω |
0.10078427797247 |
Real period |
R |
6.5012797162637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003124 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36024g1 |
Quadratic twists by: -3 |