Atkin-Lehner |
2- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98020b |
Isogeny class |
Conductor |
98020 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-25586536087174400 = -1 · 28 · 52 · 1310 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 4 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21463,-7790562] |
[a1,a2,a3,a4,a6] |
Generators |
[9022:856830:1] [8834:290103:8] |
Generators of the group modulo torsion |
j |
-884901456/20706725 |
j-invariant |
L |
10.280227443488 |
L(r)(E,1)/r! |
Ω |
0.16307568824205 |
Real period |
R |
31.519803945745 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7540d2 |
Quadratic twists by: 13 |