Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950hw |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
6531840 |
Modular degree for the optimal curve |
Δ |
863578206114750000 = 24 · 315 · 56 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6652738,-6605036908] |
[a1,a2,a3,a4,a6] |
j |
42531320912955257257/1127938881456 |
j-invariant |
L |
5.6402892903658 |
L(r)(E,1)/r! |
Ω |
0.094004823931681 |
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 |
4998j1 124950er1 |
Quadratic twists by: 5 -7 |