Atkin-Lehner |
2- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520cp |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4052095093760000 = 213 · 54 · 77 · 312 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 -6 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45880,2204628] |
[a1,a2,a3,a4,a6] |
Generators |
[366:-5880:1] [-194:1960:1] |
Generators of the group modulo torsion |
j |
22164361129/8408750 |
j-invariant |
L |
8.6840357625328 |
L(r)(E,1)/r! |
Ω |
0.4009698209721 |
Real period |
R |
0.67679935799151 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000006311 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15190q2 17360y2 |
Quadratic twists by: -4 -7 |