Atkin-Lehner |
2+ 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
45504y |
Isogeny class |
Conductor |
45504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-14674415321088 = -1 · 220 · 311 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 -5 1 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3756,-204496] |
[a1,a2,a3,a4,a6] |
Generators |
[100:648:1] |
Generators of the group modulo torsion |
j |
-30664297/76788 |
j-invariant |
L |
4.0934602746457 |
L(r)(E,1)/r! |
Ω |
0.28400012512794 |
Real period |
R |
1.8016982707272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45504bm1 1422h1 15168b1 |
Quadratic twists by: -4 8 -3 |