Atkin-Lehner |
2+ 3- 7+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
113526j |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-248281362 = -1 · 2 · 39 · 7 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -1 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-162,-1058] |
[a1,a2,a3,a4,a6] |
j |
-647214625/340578 |
j-invariant |
L |
1.3055511609554 |
L(r)(E,1)/r! |
Ω |
0.65277600647753 |
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 |
37842m1 |
Quadratic twists by: -3 |