Atkin-Lehner |
2- 3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70602n |
Isogeny class |
Conductor |
70602 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-673752020982771738 = -1 · 2 · 3 · 73 · 419 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 3 4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,205047,16890753] |
[a1,a2,a3,a4,a6] |
j |
200715401375/141839418 |
j-invariant |
L |
3.2742459471531 |
L(r)(E,1)/r! |
Ω |
0.18190255313743 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1722q2 |
Quadratic twists by: 41 |