Atkin-Lehner |
2+ 3- 5- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
63270p |
Isogeny class |
Conductor |
63270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
625152 |
Modular degree for the optimal curve |
Δ |
-72688204154880 = -1 · 211 · 312 · 5 · 192 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 3 -4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-314739,-67885835] |
[a1,a2,a3,a4,a6] |
Generators |
[8661363:96318674:12167] |
Generators of the group modulo torsion |
j |
-4729863873908820529/99709470720 |
j-invariant |
L |
4.7332831034675 |
L(r)(E,1)/r! |
Ω |
0.10078161298824 |
Real period |
R |
11.741435176492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21090e1 |
Quadratic twists by: -3 |