Atkin-Lehner |
2- 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
97020a |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
4499712 |
Modular degree for the optimal curve |
Δ |
-120535071148800 = -1 · 28 · 33 · 52 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84040488,296538415012] |
[a1,a2,a3,a4,a6] |
j |
-1647408715474378752/3025 |
j-invariant |
L |
2.1541952921909 |
L(r)(E,1)/r! |
Ω |
0.26927441170297 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
97020q2 97020t1 |
Quadratic twists by: -3 -7 |