Atkin-Lehner |
2+ 3- 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23478n |
Isogeny class |
Conductor |
23478 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
94203502848 = 28 · 37 · 7 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4376,110054] |
[a1,a2,a3,a4,a6] |
Generators |
[57:187:1] |
Generators of the group modulo torsion |
j |
9264307893765625/94203502848 |
j-invariant |
L |
4.4810851115602 |
L(r)(E,1)/r! |
Ω |
1.0739803377981 |
Real period |
R |
0.59605841318254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70434bf1 |
Quadratic twists by: -3 |