Atkin-Lehner |
2- 5- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
100700j |
Isogeny class |
Conductor |
100700 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
244800 |
Modular degree for the optimal curve |
Δ |
690701300000000 = 28 · 58 · 194 · 53 |
Discriminant |
Eigenvalues |
2- 0 5- -1 1 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26000,1002500] |
[a1,a2,a3,a4,a6] |
Generators |
[700:18050:1] |
Generators of the group modulo torsion |
j |
19437649920/6907013 |
j-invariant |
L |
5.0724732809914 |
L(r)(E,1)/r! |
Ω |
0.46706839357143 |
Real period |
R |
0.60334647924663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100700d1 |
Quadratic twists by: 5 |