Atkin-Lehner |
3- 7- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
71379c |
Isogeny class |
Conductor |
71379 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122752 |
Modular degree for the optimal curve |
Δ |
-204261643971 = -1 · 36 · 74 · 11 · 1032 |
Discriminant |
Eigenvalues |
2 3- -3 7- 11+ 0 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1629,33365] |
[a1,a2,a3,a4,a6] |
Generators |
[194:717:8] |
Generators of the group modulo torsion |
j |
-655781916672/280194299 |
j-invariant |
L |
9.606693539139 |
L(r)(E,1)/r! |
Ω |
0.93887248559672 |
Real period |
R |
1.2790200062961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7931b1 |
Quadratic twists by: -3 |