Atkin-Lehner |
2- 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
7070d |
Isogeny class |
Conductor |
7070 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1019483952637200400 = -1 · 24 · 52 · 74 · 1016 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -2 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,97562,47117317] |
[a1,a2,a3,a4,a6] |
j |
102699887864934968271/1019483952637200400 |
j-invariant |
L |
1.6294672641884 |
L(r)(E,1)/r! |
Ω |
0.20368340802356 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56560i2 63630s2 35350g2 49490q2 |
Quadratic twists by: -4 -3 5 -7 |