Atkin-Lehner |
3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525bf |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6336000 |
Modular degree for the optimal curve |
Δ |
101107323272773125 = 34 · 54 · 7 · 1111 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- 11- -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-105240758,415585826468] |
[a1,a2,a3,a4,a6] |
j |
116423188793017446400/91315917 |
j-invariant |
L |
0.8364343351474 |
L(r)(E,1)/r! |
Ω |
0.2091085853383 |
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 |
63525bl2 5775l1 |
Quadratic twists by: 5 -11 |