Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920hw |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-2021167908144000000 = -1 · 210 · 314 · 56 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-329285,99730683] |
[a1,a2,a3,a4,a6] |
Generators |
[526:-8505:1] |
Generators of the group modulo torsion |
j |
-3856034557002072064/1973796785296875 |
j-invariant |
L |
8.4687688480122 |
L(r)(E,1)/r! |
Ω |
0.2438386644494 |
Real period |
R |
0.20673234280193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002719 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920bb1 18480bx1 |
Quadratic twists by: -4 8 |