Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
102960dt |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
3714913933885440000 = 218 · 38 · 54 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53539203,-150784216702] |
[a1,a2,a3,a4,a6] |
Generators |
[24001:3519936:1] |
Generators of the group modulo torsion |
j |
5683972151443376419201/1244117160000 |
j-invariant |
L |
5.5134258495009 |
L(r)(E,1)/r! |
Ω |
0.055812513967127 |
Real period |
R |
6.1740475364123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035813 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12870k3 34320bh4 |
Quadratic twists by: -4 -3 |