Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
20496ba |
Isogeny class |
Conductor |
20496 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-546537801793536 = -1 · 214 · 313 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -2 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20440,-588] |
[a1,a2,a3,a4,a6] |
Generators |
[196:-3402:1] |
Generators of the group modulo torsion |
j |
230560651724759/133432080516 |
j-invariant |
L |
6.9658610719205 |
L(r)(E,1)/r! |
Ω |
0.30985630074258 |
Real period |
R |
0.28821718636815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2562b1 81984bx1 61488bu1 |
Quadratic twists by: -4 8 -3 |