Atkin-Lehner |
2- 3+ 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350bx |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
940800 |
Modular degree for the optimal curve |
Δ |
-1724614633500000 = -1 · 25 · 3 · 56 · 117 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 6 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25588,2533781] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-1347:1] |
Generators of the group modulo torsion |
j |
-118580635373689/110375336544 |
j-invariant |
L |
9.1648443651732 |
L(r)(E,1)/r! |
Ω |
0.43074757299976 |
Real period |
R |
0.60790289324396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3894f1 |
Quadratic twists by: 5 |