Atkin-Lehner |
2+ 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
70070o |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
407543265529400 = 23 · 52 · 77 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11- 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22663,-893283] |
[a1,a2,a3,a4,a6] |
j |
10942526586601/3464060600 |
j-invariant |
L |
3.1904939106196 |
L(r)(E,1)/r! |
Ω |
0.39881173853417 |
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 |
10010h2 |
Quadratic twists by: -7 |