Atkin-Lehner |
2+ 3+ 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440k |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-6940830000 = -1 · 24 · 3 · 54 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,465,942] |
[a1,a2,a3,a4,a6] |
Generators |
[14:100:1] |
Generators of the group modulo torsion |
j |
693470971904/433801875 |
j-invariant |
L |
5.9854302287802 |
L(r)(E,1)/r! |
Ω |
0.82351511067732 |
Real period |
R |
1.8170371413589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000097731 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57720z1 |
Quadratic twists by: -4 |