Atkin-Lehner |
2+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58190d |
Isogeny class |
Conductor |
58190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2119680 |
Modular degree for the optimal curve |
Δ |
-2.2931022709982E+19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 11- -4 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11023048,-14092898848] |
[a1,a2,a3,a4,a6] |
Generators |
[743284:76014833:64] |
Generators of the group modulo torsion |
j |
-1891499283952969/292820000 |
j-invariant |
L |
2.9421830793979 |
L(r)(E,1)/r! |
Ω |
0.041427630657108 |
Real period |
R |
8.8774781252566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58190j1 |
Quadratic twists by: -23 |