Atkin-Lehner |
3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
38025cu |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
3128150390625 = 36 · 59 · 133 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 2 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5180,116822] |
[a1,a2,a3,a4,a6] |
j |
4913 |
j-invariant |
L |
1.5123247781838 |
L(r)(E,1)/r! |
Ω |
0.7561623891018 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4225k1 38025cr1 38025cs1 |
Quadratic twists by: -3 5 13 |