Atkin-Lehner |
2- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
124384j |
Isogeny class |
Conductor |
124384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-5911412289536 = -1 · 212 · 137 · 23 |
Discriminant |
Eigenvalues |
2- 1 1 -4 -1 13+ 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3155,-93989] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-676:1] [797031:9342364:6859] |
Generators of the group modulo torsion |
j |
175616/299 |
j-invariant |
L |
13.363388121553 |
L(r)(E,1)/r! |
Ω |
0.39810339177587 |
Real period |
R |
4.1959539920007 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999954695 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124384o1 9568d1 |
Quadratic twists by: -4 13 |