Atkin-Lehner |
3- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325bw |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
178176 |
Modular degree for the optimal curve |
Δ |
-9333193359375 = -1 · 37 · 510 · 19 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4270,99272] |
[a1,a2,a3,a4,a6] |
j |
756058031/819375 |
j-invariant |
L |
1.9345499349184 |
L(r)(E,1)/r! |
Ω |
0.48363754841527 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32775bc1 19665y1 |
Quadratic twists by: -3 5 |