Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020ca |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-207593032974410160 = -1 · 24 · 312 · 5 · 79 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300468,67076737] |
[a1,a2,a3,a4,a6] |
Generators |
[254:-2673:1] |
Generators of the group modulo torsion |
j |
-6373654528/441045 |
j-invariant |
L |
5.5843201260292 |
L(r)(E,1)/r! |
Ω |
0.31122344500743 |
Real period |
R |
1.4952601357753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970811 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32340bm1 97020de1 |
Quadratic twists by: -3 -7 |