Atkin-Lehner |
2- 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
90300br |
Isogeny class |
Conductor |
90300 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-2427268740750000 = -1 · 24 · 37 · 56 · 74 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,667,2370588] |
[a1,a2,a3,a4,a6] |
Generators |
[43:-1575:1] |
Generators of the group modulo torsion |
j |
131072000/9709074963 |
j-invariant |
L |
8.3955706836165 |
L(r)(E,1)/r! |
Ω |
0.36289719497265 |
Real period |
R |
0.27541483241293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3612b1 |
Quadratic twists by: 5 |