Atkin-Lehner |
3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
38025cw |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
673920 |
Modular degree for the optimal curve |
Δ |
-3019796891764453125 = -1 · 36 · 58 · 139 |
Discriminant |
Eigenvalues |
-1 3- 5- 5 -3 13- 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,360445,-7341928] |
[a1,a2,a3,a4,a6] |
j |
1715 |
j-invariant |
L |
1.7943006561169 |
L(r)(E,1)/r! |
Ω |
0.14952505467736 |
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 |
4225l1 38025bz1 38025ct1 |
Quadratic twists by: -3 5 13 |