Atkin-Lehner |
2- 3- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31878ba |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
162240 |
Modular degree for the optimal curve |
Δ |
86641502846976 = 226 · 36 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11+ -3 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-116078,15244413] |
[a1,a2,a3,a4,a6] |
Generators |
[153:947:1] |
Generators of the group modulo torsion |
j |
237269779307308441/118849798144 |
j-invariant |
L |
7.0864204193539 |
L(r)(E,1)/r! |
Ω |
0.59718302189861 |
Real period |
R |
0.45640050289287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542a1 |
Quadratic twists by: -3 |