Atkin-Lehner |
3- 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98325cm |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-902641592291625 = -1 · 310 · 53 · 19 · 235 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 -3 -5 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-128390,-17733738] |
[a1,a2,a3,a4,a6] |
j |
-2568482411878349/9905531877 |
j-invariant |
L |
0.50430898706548 |
L(r)(E,1)/r! |
Ω |
0.12607726375106 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32775q1 98325cq1 |
Quadratic twists by: -3 5 |