Atkin-Lehner |
2- 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55120x |
Isogeny class |
Conductor |
55120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1722500000000000000 = 214 · 516 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 0 5- 4 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-365387,56918266] |
[a1,a2,a3,a4,a6] |
Generators |
[362761:10020450:343] |
Generators of the group modulo torsion |
j |
1317113008560421281/420532226562500 |
j-invariant |
L |
7.3378002186884 |
L(r)(E,1)/r! |
Ω |
0.24523958259252 |
Real period |
R |
7.4802364091108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6890o3 |
Quadratic twists by: -4 |