Atkin-Lehner |
3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025cm |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
947252063671875 = 315 · 58 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 5 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-370805,86989322] |
[a1,a2,a3,a4,a6] |
Generators |
[819:17815:1] |
Generators of the group modulo torsion |
j |
117161545345/19683 |
j-invariant |
L |
4.595039827414 |
L(r)(E,1)/r! |
Ω |
0.48032991995074 |
Real period |
R |
0.79720202659287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12675bh1 38025bi1 38025ci1 |
Quadratic twists by: -3 5 13 |