Atkin-Lehner |
2- 3- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
40848i |
Isogeny class |
Conductor |
40848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-46821151408128 = -1 · 216 · 3 · 235 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 4 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4032,-312780] |
[a1,a2,a3,a4,a6] |
Generators |
[484308:12542606:729] |
Generators of the group modulo torsion |
j |
1769365757375/11430945168 |
j-invariant |
L |
6.5309804080085 |
L(r)(E,1)/r! |
Ω |
0.31819297961352 |
Real period |
R |
10.262609212717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5106d1 122544bf1 |
Quadratic twists by: -4 -3 |