Atkin-Lehner |
2- 3- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
122544x |
Isogeny class |
Conductor |
122544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
58444664832 = 212 · 36 · 232 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 3 1 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4080,99632] |
[a1,a2,a3,a4,a6] |
Generators |
[562:3197:8] |
Generators of the group modulo torsion |
j |
2515456000/19573 |
j-invariant |
L |
8.8476760020708 |
L(r)(E,1)/r! |
Ω |
1.1183859458902 |
Real period |
R |
3.9555557601336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069435 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7659c1 13616h1 |
Quadratic twists by: -4 -3 |