Atkin-Lehner |
3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
83655ba |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
814080 |
Modular degree for the optimal curve |
Δ |
-104466256981515 = -1 · 310 · 5 · 115 · 133 |
Discriminant |
Eigenvalues |
0 3- 5- -2 11+ 13- -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1010802,-391153838] |
[a1,a2,a3,a4,a6] |
j |
-71312293562908672/65225655 |
j-invariant |
L |
0.30113622248111 |
L(r)(E,1)/r! |
Ω |
0.07528405651392 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27885i1 83655r1 |
Quadratic twists by: -3 13 |