Atkin-Lehner |
3- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98325cc |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
808704 |
Modular degree for the optimal curve |
Δ |
-22919360281189875 = -1 · 319 · 53 · 193 · 23 |
Discriminant |
Eigenvalues |
2 3- 5- 0 3 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-60195,9239431] |
[a1,a2,a3,a4,a6] |
Generators |
[96392:1095431:512] |
Generators of the group modulo torsion |
j |
-264708219686912/251515613511 |
j-invariant |
L |
14.416125394873 |
L(r)(E,1)/r! |
Ω |
0.34697624477795 |
Real period |
R |
5.1934842814309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32775n1 98325ch1 |
Quadratic twists by: -3 5 |