Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950fd |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1188000 |
Modular degree for the optimal curve |
Δ |
32473500603919200 = 25 · 35 · 52 · 76 · 175 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-79773,-227949] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:1700:1] |
Generators of the group modulo torsion |
j |
19088138515945/11040808032 |
j-invariant |
L |
8.002405154368 |
L(r)(E,1)/r! |
Ω |
0.31112513480728 |
Real period |
R |
5.1441714218995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950ed2 2550be1 |
Quadratic twists by: 5 -7 |