Atkin-Lehner |
2- 3- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
79344be |
Isogeny class |
Conductor |
79344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-31260266496 = -1 · 212 · 36 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 4 1 -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,213,-8422] |
[a1,a2,a3,a4,a6] |
Generators |
[813:4294:27] |
Generators of the group modulo torsion |
j |
357911/10469 |
j-invariant |
L |
8.6793492341797 |
L(r)(E,1)/r! |
Ω |
0.56588230975733 |
Real period |
R |
3.8344321255729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003309 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4959e1 8816d1 |
Quadratic twists by: -4 -3 |