Atkin-Lehner |
2- 3- 23+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
120888j |
Isogeny class |
Conductor |
120888 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
4288864464 = 24 · 37 · 23 · 732 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-426,-1235] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:45:1] [-3:4:1] |
Generators of the group modulo torsion |
j |
733001728/367701 |
j-invariant |
L |
9.2284667335822 |
L(r)(E,1)/r! |
Ω |
1.1073390093068 |
Real period |
R |
4.1669563952823 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000465 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40296h1 |
Quadratic twists by: -3 |