Atkin-Lehner |
3+ 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
101475ba |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
-61029601875 = -1 · 39 · 54 · 112 · 41 |
Discriminant |
Eigenvalues |
2 3+ 5- -2 11- 0 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-675,-13669] |
[a1,a2,a3,a4,a6] |
j |
-2764800/4961 |
j-invariant |
L |
1.767237744304 |
L(r)(E,1)/r! |
Ω |
0.44180956075876 |
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 |
101475u1 101475o1 |
Quadratic twists by: -3 5 |