Atkin-Lehner |
2+ 3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450bh |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
-5.0760256507085E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 5 13- -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-78244251,-266424000602] |
[a1,a2,a3,a4,a6] |
j |
-3390478469915638897867681/324865641645342720 |
j-invariant |
L |
2.8426407408751 |
L(r)(E,1)/r! |
Ω |
0.025380720915833 |
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 |
12090w1 |
Quadratic twists by: 5 |