Atkin-Lehner |
2- 3+ 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
114576z |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7238400 |
Modular degree for the optimal curve |
Δ |
-6.5384307390071E+22 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11+ 3 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6139845,13627120749] |
[a1,a2,a3,a4,a6] |
Generators |
[1545546318500030622900:79020476123538620170819:482397573090796875] |
Generators of the group modulo torsion |
j |
-6249367399308357062656/15962965671404085411 |
j-invariant |
L |
6.2292704860866 |
L(r)(E,1)/r! |
Ω |
0.09741945504174 |
Real period |
R |
31.971388484044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7161h1 |
Quadratic twists by: -4 |