Atkin-Lehner |
2- 3+ 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
97680br |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
732228034560 = 213 · 3 · 5 · 115 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11+ -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1284455040,17718908634240] |
[a1,a2,a3,a4,a6] |
Generators |
[558264:105704:27] [2586520:8:125] |
Generators of the group modulo torsion |
j |
57216394348828693207027666561/178766610 |
j-invariant |
L |
9.7746487420525 |
L(r)(E,1)/r! |
Ω |
0.18950487193514 |
Real period |
R |
12.894983440407 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12210y2 |
Quadratic twists by: -4 |