Atkin-Lehner |
2- 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080de |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2176000 |
Modular degree for the optimal curve |
Δ |
-320319224524800000 = -1 · 215 · 33 · 55 · 415 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 0 -4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-759948,256440272] |
[a1,a2,a3,a4,a6] |
j |
-54860737570622424/362050628125 |
j-invariant |
L |
2.4558810537913 |
L(r)(E,1)/r! |
Ω |
0.30698501005477 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080df1 59040b1 118080ds1 |
Quadratic twists by: -4 8 -3 |