Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950hi |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
1458024057000000 = 26 · 36 · 56 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-313013,-67405983] |
[a1,a2,a3,a4,a6] |
j |
1845026709625/793152 |
j-invariant |
L |
7.2664563182555 |
L(r)(E,1)/r! |
Ω |
0.20184600521485 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4998g1 2550v1 |
Quadratic twists by: 5 -7 |