Atkin-Lehner |
2- 3+ 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
49266bi |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
264576 |
Modular degree for the optimal curve |
Δ |
-1224684969984 = -1 · 213 · 33 · 72 · 173 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 2 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-169811,-26891277] |
[a1,a2,a3,a4,a6] |
j |
-20056493578111966611/45358702592 |
j-invariant |
L |
6.1147905912635 |
L(r)(E,1)/r! |
Ω |
0.11759212675113 |
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 |
49266i1 |
Quadratic twists by: -3 |