Atkin-Lehner |
3+ 7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
85701h |
Isogeny class |
Conductor |
85701 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7706293013619897543 = -1 · 34 · 77 · 114 · 534 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-198794,137766782] |
[a1,a2,a3,a4,a6] |
Generators |
[6:11683:1] |
Generators of the group modulo torsion |
j |
-7384913720673553/65502409826007 |
j-invariant |
L |
1.089417848532 |
L(r)(E,1)/r! |
Ω |
0.20032317027015 |
Real period |
R |
0.67978771809212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019649 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12243h4 |
Quadratic twists by: -7 |