Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10725f |
Isogeny class |
Conductor |
10725 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
7.1639617236548E+20 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-111523376,453300623273] |
[a1,a2,a3,a4,a6] |
Generators |
[5931:19342:1] |
Generators of the group modulo torsion |
j |
9817511164935143545689841/45849355031390625 |
j-invariant |
L |
6.4373199960612 |
L(r)(E,1)/r! |
Ω |
0.14183185322518 |
Real period |
R |
2.8366864748997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32175i2 2145e2 117975bz2 |
Quadratic twists by: -3 5 -11 |