Atkin-Lehner |
2- 3- 13- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
91494z |
Isogeny class |
Conductor |
91494 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
4521984 |
Modular degree for the optimal curve |
Δ |
-1.4439093716727E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -2 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16375010,-25507172127] |
[a1,a2,a3,a4,a6] |
Generators |
[9719:851481:1] |
Generators of the group modulo torsion |
j |
-666102219239958653841625/198067129173209088 |
j-invariant |
L |
11.251347280461 |
L(r)(E,1)/r! |
Ω |
0.037524630177293 |
Real period |
R |
6.246645657084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30498e1 |
Quadratic twists by: -3 |