Atkin-Lehner |
2+ 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
78120g |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-2.2252831593758E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24194883,231537211918] |
[a1,a2,a3,a4,a6] |
j |
-2098296257949902142724/29809713104635960125 |
j-invariant |
L |
1.8370835781786 |
L(r)(E,1)/r! |
Ω |
0.057408861291154 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26040u3 |
Quadratic twists by: -3 |