Atkin-Lehner |
2- 3- 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
124236l |
Isogeny class |
Conductor |
124236 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
4447828158519312 = 24 · 39 · 73 · 175 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 0 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42285,-951347] |
[a1,a2,a3,a4,a6] |
Generators |
[-163:1269:1] [-147:1445:1] |
Generators of the group modulo torsion |
j |
716861416288000/381329574633 |
j-invariant |
L |
11.684487842897 |
L(r)(E,1)/r! |
Ω |
0.35371443685856 |
Real period |
R |
0.55056125468725 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999943738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41412d1 |
Quadratic twists by: -3 |