Atkin-Lehner |
3- 5+ 37+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
111555g |
Isogeny class |
Conductor |
111555 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-2195737065 = -1 · 311 · 5 · 37 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 2 -4 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68,-2248] |
[a1,a2,a3,a4,a6] |
Generators |
[126:95:8] [30:133:1] |
Generators of the group modulo torsion |
j |
-47045881/3011985 |
j-invariant |
L |
6.7780064567192 |
L(r)(E,1)/r! |
Ω |
0.6435968332459 |
Real period |
R |
2.6328619519757 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999971353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37185e1 |
Quadratic twists by: -3 |