Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
77077l |
Isogeny class |
Conductor |
77077 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.5293864222893E+19 |
Discriminant |
Eigenvalues |
1 0 2 7- 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3680056,-2701256013] |
[a1,a2,a3,a4,a6] |
Generators |
[34180812936441133379534:-725161099966566333694567:14148098385390633131] |
Generators of the group modulo torsion |
j |
26444947540257/169338169 |
j-invariant |
L |
6.9835123142215 |
L(r)(E,1)/r! |
Ω |
0.10904442858264 |
Real period |
R |
32.02140817008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002271 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11011p2 7007c2 |
Quadratic twists by: -7 -11 |