Atkin-Lehner |
2- 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
34790p |
Isogeny class |
Conductor |
34790 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
462336 |
Modular degree for the optimal curve |
Δ |
-18487039788770560 = -1 · 28 · 5 · 79 · 713 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 5 4 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,35279,6026985] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:1419:1] |
Generators of the group modulo torsion |
j |
120334284953/458126080 |
j-invariant |
L |
6.2743818750725 |
L(r)(E,1)/r! |
Ω |
0.27563360192108 |
Real period |
R |
1.4227179286519 |
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 |
34790ba1 |
Quadratic twists by: -7 |