Atkin-Lehner |
2- 3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
107484m |
Isogeny class |
Conductor |
107484 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
166528179832886352 = 24 · 310 · 137 · 532 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-726249,237166632] |
[a1,a2,a3,a4,a6] |
Generators |
[-477:21801:1] [69:13689:1] |
Generators of the group modulo torsion |
j |
548530594889728/2156292333 |
j-invariant |
L |
13.112837899088 |
L(r)(E,1)/r! |
Ω |
0.32396615096693 |
Real period |
R |
0.67459917547348 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997492 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8268f1 |
Quadratic twists by: 13 |