Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950ct |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
5598720 |
Modular degree for the optimal curve |
Δ |
-1.0802208633502E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,132274,-499697152] |
[a1,a2,a3,a4,a6] |
Generators |
[1068:28792:1] |
Generators of the group modulo torsion |
j |
139233463487/58763045376 |
j-invariant |
L |
7.2471459931013 |
L(r)(E,1)/r! |
Ω |
0.088061180416031 |
Real period |
R |
2.2860199043855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999843401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998bg1 17850e1 |
Quadratic twists by: 5 -7 |