Atkin-Lehner |
7- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
124579d |
Isogeny class |
Conductor |
124579 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
10442880 |
Modular degree for the optimal curve |
Δ |
-1.6767985791178E+23 |
Discriminant |
Eigenvalues |
-1 -2 1 7- 0 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5026255,19218536458] |
[a1,a2,a3,a4,a6] |
Generators |
[22018:3275960:1] |
Generators of the group modulo torsion |
j |
3998006249039/47738317081 |
j-invariant |
L |
2.6908986682135 |
L(r)(E,1)/r! |
Ω |
0.075230215577222 |
Real period |
R |
0.59614758627975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999934273 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124579c1 |
Quadratic twists by: 37 |