Atkin-Lehner |
2+ 3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63210bd |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-130110636201840 = -1 · 24 · 38 · 5 · 78 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5462,526796] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:533:1] |
Generators of the group modulo torsion |
j |
153216258551/1105922160 |
j-invariant |
L |
6.4992345469087 |
L(r)(E,1)/r! |
Ω |
0.42604286070366 |
Real period |
R |
0.95343026869505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030d1 |
Quadratic twists by: -7 |