Atkin-Lehner |
3+ 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
33825m |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
50544 |
Modular degree for the optimal curve |
Δ |
-449399795625 = -1 · 313 · 54 · 11 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 11- 5 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-738,32856] |
[a1,a2,a3,a4,a6] |
j |
-71129467825/719039673 |
j-invariant |
L |
0.80040861824357 |
L(r)(E,1)/r! |
Ω |
0.80040861823418 |
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 |
101475ca1 33825v1 |
Quadratic twists by: -3 5 |