Atkin-Lehner |
5+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
100555d |
Isogeny class |
Conductor |
100555 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
636480 |
Modular degree for the optimal curve |
Δ |
-29133720734174875 = -1 · 53 · 75 · 138 · 17 |
Discriminant |
Eigenvalues |
1 -2 5+ 7+ -2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-122529,18427931] |
[a1,a2,a3,a4,a6] |
Generators |
[521:9541:1] |
Generators of the group modulo torsion |
j |
-249395415529/35714875 |
j-invariant |
L |
3.1527918369327 |
L(r)(E,1)/r! |
Ω |
0.36058832579733 |
Real period |
R |
2.9144887608148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999000272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100555p1 |
Quadratic twists by: 13 |