Atkin-Lehner |
3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21315h |
Isogeny class |
Conductor |
21315 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-460595835 = -1 · 33 · 5 · 76 · 29 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 3 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-555,-4957] |
[a1,a2,a3,a4,a6] |
Generators |
[313:5512:1] |
Generators of the group modulo torsion |
j |
-160989184/3915 |
j-invariant |
L |
3.7730378355692 |
L(r)(E,1)/r! |
Ω |
0.49102881372079 |
Real period |
R |
3.8419719272468 |
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 |
63945q1 106575bz1 435a1 |
Quadratic twists by: -3 5 -7 |