Atkin-Lehner |
2+ 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37050x |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-6583553437500 = -1 · 22 · 38 · 57 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17501,898148] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-509:1] [-108:1291:1] |
Generators of the group modulo torsion |
j |
-37936442980801/421347420 |
j-invariant |
L |
7.2853978475375 |
L(r)(E,1)/r! |
Ω |
0.75368520861973 |
Real period |
R |
0.30207396951902 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111150dy1 7410o1 |
Quadratic twists by: -3 5 |