Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
80724h |
Isogeny class |
Conductor |
80724 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-36164352 = -1 · 28 · 3 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-738213,244375953] |
[a1,a2,a3,a4,a6] |
Generators |
[496:15:1] [-7382:94325:8] |
Generators of the group modulo torsion |
j |
-180844795224064000/147 |
j-invariant |
L |
9.6699965133228 |
L(r)(E,1)/r! |
Ω |
0.90069721054041 |
Real period |
R |
5.3680617638095 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999784 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80724q2 |
Quadratic twists by: -31 |