Atkin-Lehner |
2- 3- 37- 73- |
Signs for the Atkin-Lehner involutions |
Class |
129648bb |
Isogeny class |
Conductor |
129648 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
2299825872 = 24 · 36 · 37 · 732 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-669,6030] |
[a1,a2,a3,a4,a6] |
Generators |
[18:12:1] |
Generators of the group modulo torsion |
j |
2072674435072/143739117 |
j-invariant |
L |
8.3652064832211 |
L(r)(E,1)/r! |
Ω |
1.428708446419 |
Real period |
R |
1.9516942878287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000169362 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32412b1 |
Quadratic twists by: -4 |