Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616v |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-339715140512744304 = -1 · 24 · 33 · 79 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11- 5 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-233583,-51715139] |
[a1,a2,a3,a4,a6] |
Generators |
[588:3773:1] |
Generators of the group modulo torsion |
j |
-80850237696/19487171 |
j-invariant |
L |
5.4153485379731 |
L(r)(E,1)/r! |
Ω |
0.10721690848261 |
Real period |
R |
1.8038694426062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999231 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38808e1 77616h1 77616s1 |
Quadratic twists by: -4 -3 -7 |