Atkin-Lehner |
2+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12350j |
Isogeny class |
Conductor |
12350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
-7904000 = -1 · 28 · 53 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5- 3 6 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,35,125] |
[a1,a2,a3,a4,a6] |
Generators |
[10:35:1] |
Generators of the group modulo torsion |
j |
36264691/63232 |
j-invariant |
L |
3.2918264169361 |
L(r)(E,1)/r! |
Ω |
1.6022821780873 |
Real period |
R |
0.51361527669017 |
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 |
98800dd1 111150fh1 12350v1 |
Quadratic twists by: -4 -3 5 |