Atkin-Lehner |
3- 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98325bo |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-3347719392796875 = -1 · 310 · 56 · 193 · 232 |
Discriminant |
Eigenvalues |
-2 3- 5+ -1 -1 0 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3975,-2782094] |
[a1,a2,a3,a4,a6] |
Generators |
[181:1966:1] |
Generators of the group modulo torsion |
j |
609800192/293901291 |
j-invariant |
L |
2.5409727253877 |
L(r)(E,1)/r! |
Ω |
0.20898617026209 |
Real period |
R |
1.0132140638136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012446 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32775i1 3933f1 |
Quadratic twists by: -3 5 |