Atkin-Lehner |
2- 3+ 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124020d |
Isogeny class |
Conductor |
124020 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
142848 |
Modular degree for the optimal curve |
Δ |
-2169853920000 = -1 · 28 · 39 · 54 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -3 13- -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-432,-70956] |
[a1,a2,a3,a4,a6] |
Generators |
[45:27:1] |
Generators of the group modulo torsion |
j |
-1769472/430625 |
j-invariant |
L |
7.8545465942448 |
L(r)(E,1)/r! |
Ω |
0.36776314768234 |
Real period |
R |
2.6697028584266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999764629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124020b1 |
Quadratic twists by: -3 |