Atkin-Lehner |
2+ 3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
49608g |
Isogeny class |
Conductor |
49608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1472028899328 = 211 · 39 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-378608259,2835523420702] |
[a1,a2,a3,a4,a6] |
Generators |
[1560572737008407258150:-27577385606099929858866:125770327014390625] |
Generators of the group modulo torsion |
j |
4020096534674787344823554/985959 |
j-invariant |
L |
7.6439716669392 |
L(r)(E,1)/r! |
Ω |
0.23342267391955 |
Real period |
R |
32.747340001765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999669 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99216o6 16536i5 |
Quadratic twists by: -4 -3 |