Atkin-Lehner |
2- 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
37840be |
Isogeny class |
Conductor |
37840 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
deg |
888000 |
Modular degree for the optimal curve |
Δ |
163899927769600000 = 212 · 55 · 115 · 433 |
Discriminant |
Eigenvalues |
2- -3 5- 0 11- 5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-391312,92182384] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:-11825:1] |
Generators of the group modulo torsion |
j |
1617831409433849856/40014630803125 |
j-invariant |
L |
4.1734247184184 |
L(r)(E,1)/r! |
Ω |
0.3221695303195 |
Real period |
R |
0.17272168121258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2365c1 |
Quadratic twists by: -4 |