Atkin-Lehner |
3+ 5+ 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
26445a |
Isogeny class |
Conductor |
26445 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-11460188671875 = -1 · 32 · 58 · 41 · 433 |
Discriminant |
Eigenvalues |
2 3+ 5+ 3 2 6 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2914,-152179] |
[a1,a2,a3,a4,a6] |
j |
2735541506134016/11460188671875 |
j-invariant |
L |
4.3521599898074 |
L(r)(E,1)/r! |
Ω |
0.36267999915069 |
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 |
79335p1 |
Quadratic twists by: -3 |