Atkin-Lehner |
2- 5+ 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
100700b |
Isogeny class |
Conductor |
100700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1562112 |
Modular degree for the optimal curve |
Δ |
-276236621093750000 = -1 · 24 · 514 · 19 · 533 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 -3 0 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1164158,-484515187] |
[a1,a2,a3,a4,a6] |
j |
-697942841638169344/1104946484375 |
j-invariant |
L |
3.6332500347841 |
L(r)(E,1)/r! |
Ω |
0.072665009444788 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20140b1 |
Quadratic twists by: 5 |