Atkin-Lehner |
2+ 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
7320d |
Isogeny class |
Conductor |
7320 |
Conductor |
∏ cp |
572 |
Product of Tamagawa factors cp |
deg |
109824 |
Modular degree for the optimal curve |
Δ |
-1215671287500000000 = -1 · 28 · 313 · 511 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -4 4 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-78425,-53743125] |
[a1,a2,a3,a4,a6] |
Generators |
[475:4050:1] |
Generators of the group modulo torsion |
j |
-208378480401673216/4748715966796875 |
j-invariant |
L |
5.0923266083485 |
L(r)(E,1)/r! |
Ω |
0.11814764539647 |
Real period |
R |
0.075352063647475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14640a1 58560g1 21960n1 36600r1 |
Quadratic twists by: -4 8 -3 5 |