Atkin-Lehner |
2- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
103400ba |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
75693970000000000 = 210 · 510 · 115 · 47 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 11+ -3 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-881875,-318481250] |
[a1,a2,a3,a4,a6] |
Generators |
[-67270:62344:125] |
Generators of the group modulo torsion |
j |
7584811733700/7569397 |
j-invariant |
L |
2.6623020549501 |
L(r)(E,1)/r! |
Ω |
0.15580228331454 |
Real period |
R |
8.5438480019232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103400l1 |
Quadratic twists by: 5 |