Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650bz |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
10321920 |
Modular degree for the optimal curve |
Δ |
4.19406833664E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3472253588,78751157917781] |
[a1,a2,a3,a4,a6] |
j |
296304326013275547793071733369/268420373544960000000 |
j-invariant |
L |
3.1284741635243 |
L(r)(E,1)/r! |
Ω |
0.065176545073423 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109200fp1 40950br1 2730k1 95550jl1 |
Quadratic twists by: -4 -3 5 -7 |