Atkin-Lehner |
2- 3+ 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37050br |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-92625000 = -1 · 23 · 3 · 56 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 5 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13,-469] |
[a1,a2,a3,a4,a6] |
Generators |
[25:112:1] |
Generators of the group modulo torsion |
j |
-15625/5928 |
j-invariant |
L |
6.9152162873575 |
L(r)(E,1)/r! |
Ω |
0.85368062079862 |
Real period |
R |
1.3500787294608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150bp1 1482c1 |
Quadratic twists by: -3 5 |