Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
101920i |
Isogeny class |
Conductor |
101920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
57579754756160 = 26 · 5 · 712 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 4 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12266,-370264] |
[a1,a2,a3,a4,a6] |
Generators |
[-37828950:-10279612:421875] |
Generators of the group modulo torsion |
j |
27108144064/7647185 |
j-invariant |
L |
10.232001874478 |
L(r)(E,1)/r! |
Ω |
0.46335328770506 |
Real period |
R |
11.041253129441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986887 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101920bf1 14560e1 |
Quadratic twists by: -4 -7 |