Atkin-Lehner |
11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
68651d |
Isogeny class |
Conductor |
68651 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
16688196908972171 = 11 · 798 |
Discriminant |
Eigenvalues |
-1 2 2 -4 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-355867,81325846] |
[a1,a2,a3,a4,a6] |
Generators |
[2278611578370:3539926686827:6128487000] |
Generators of the group modulo torsion |
j |
20503329553/68651 |
j-invariant |
L |
5.4025783616375 |
L(r)(E,1)/r! |
Ω |
0.39220495032683 |
Real period |
R |
13.774885699465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
869c2 |
Quadratic twists by: -79 |