Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1694d |
Isogeny class |
Conductor |
1694 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
81339763548736 = 26 · 72 · 1110 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39166,2961492] |
[a1,a2,a3,a4,a6] |
Generators |
[61:862:1] |
Generators of the group modulo torsion |
j |
3750606459153/45914176 |
j-invariant |
L |
2.3730703470768 |
L(r)(E,1)/r! |
Ω |
0.61086953091947 |
Real period |
R |
3.8847417115484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13552m2 54208bd2 15246bv2 42350bt2 |
Quadratic twists by: -4 8 -3 5 |