Atkin-Lehner |
2- 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
61100k |
Isogeny class |
Conductor |
61100 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
15785280 |
Modular degree for the optimal curve |
Δ |
-3.2158694170015E+24 |
Discriminant |
Eigenvalues |
2- -2 5+ 5 4 13- -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18041158,-91187604687] |
[a1,a2,a3,a4,a6] |
j |
-2597628003070123012864/12863477668005859375 |
j-invariant |
L |
1.3894665964233 |
L(r)(E,1)/r! |
Ω |
0.033082537892655 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12220b1 |
Quadratic twists by: 5 |