Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200cr |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-19318143750000 = -1 · 24 · 3 · 58 · 1013 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -3 2 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6542,54787] |
[a1,a2,a3,a4,a6] |
Generators |
[6297738483:105570135359:24642171] |
Generators of the group modulo torsion |
j |
4953463040/3090903 |
j-invariant |
L |
7.2467022675674 |
L(r)(E,1)/r! |
Ω |
0.42497446534127 |
Real period |
R |
17.052088642554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30300p2 121200db2 |
Quadratic twists by: -4 5 |