Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1694d |
Isogeny class |
Conductor |
1694 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
21265990680661496 = 23 · 7 · 1114 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-73046,-2899748] |
[a1,a2,a3,a4,a6] |
Generators |
[-1257:17671:27] |
Generators of the group modulo torsion |
j |
24331017010833/12004097336 |
j-invariant |
L |
2.3730703470768 |
L(r)(E,1)/r! |
Ω |
0.30543476545973 |
Real period |
R |
7.7694834230967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13552m4 54208bd3 15246bv4 42350bt3 |
Quadratic twists by: -4 8 -3 5 |