Atkin-Lehner |
3- 5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
26235o |
Isogeny class |
Conductor |
26235 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
1296000 |
Modular degree for the optimal curve |
Δ |
-12153373998046875 = -1 · 36 · 59 · 115 · 53 |
Discriminant |
Eigenvalues |
1 3- 5- -3 11- 1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43496649,-110405076732] |
[a1,a2,a3,a4,a6] |
j |
-12484282556165650627532689/16671294921875 |
j-invariant |
L |
1.322720615224 |
L(r)(E,1)/r! |
Ω |
0.029393791449428 |
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 |
2915a1 |
Quadratic twists by: -3 |