Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912cw |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-5884147777607221248 = -1 · 214 · 33 · 712 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,277912,102272820] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:9114:1] |
Generators of the group modulo torsion |
j |
4926016478375/12210554412 |
j-invariant |
L |
6.1381084226756 |
L(r)(E,1)/r! |
Ω |
0.16732496841693 |
Real period |
R |
1.5284898602138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9114a2 10416p2 |
Quadratic twists by: -4 -7 |