Atkin-Lehner |
5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
34445c |
Isogeny class |
Conductor |
34445 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
906360 |
Modular degree for the optimal curve |
Δ |
7038413225434503125 = 55 · 838 |
Discriminant |
Eigenvalues |
-2 0 5- -2 3 6 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-571787,106781222] |
[a1,a2,a3,a4,a6] |
Generators |
[0:-10334:1] |
Generators of the group modulo torsion |
j |
9179136/3125 |
j-invariant |
L |
2.5661185406304 |
L(r)(E,1)/r! |
Ω |
0.2171344168581 |
Real period |
R |
0.78787403604984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34445b1 |
Quadratic twists by: -83 |