Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920ha |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
33188928314572800 = 215 · 33 · 52 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-221121,38976255] |
[a1,a2,a3,a4,a6] |
Generators |
[327:1320:1] |
Generators of the group modulo torsion |
j |
36489314991346568/1012845712725 |
j-invariant |
L |
7.269547467029 |
L(r)(E,1)/r! |
Ω |
0.3675241550678 |
Real period |
R |
0.41207878030074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920ed4 36960bl3 |
Quadratic twists by: -4 8 |