Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020dd |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
-50534353744182000 = -1 · 24 · 318 · 53 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4263,-10815091] |
[a1,a2,a3,a4,a6] |
j |
14990845184/88418496375 |
j-invariant |
L |
2.9659186780395 |
L(r)(E,1)/r! |
Ω |
0.16477325882043 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340c1 97020bg1 |
Quadratic twists by: -3 -7 |