Atkin-Lehner |
2- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
103400y |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-58803580000000000 = -1 · 211 · 510 · 113 · 472 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11+ 5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-96875,-16456250] |
[a1,a2,a3,a4,a6] |
Generators |
[47418217174764:1553989430991793:40565745856] |
Generators of the group modulo torsion |
j |
-5027231250/2940179 |
j-invariant |
L |
5.6857763558151 |
L(r)(E,1)/r! |
Ω |
0.13176337986003 |
Real period |
R |
21.575707764384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103400j1 |
Quadratic twists by: 5 |