Atkin-Lehner |
2- 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63210bz |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-995557500000 = -1 · 25 · 33 · 57 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1770,-37773] |
[a1,a2,a3,a4,a6] |
Generators |
[27:161:1] |
Generators of the group modulo torsion |
j |
1787862255353/2902500000 |
j-invariant |
L |
8.5693941054149 |
L(r)(E,1)/r! |
Ω |
0.46299246908741 |
Real period |
R |
0.26441016639034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63210cl1 |
Quadratic twists by: -7 |