Atkin-Lehner |
2- 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
1248h |
Isogeny class |
Conductor |
1248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
179712 = 29 · 33 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 4 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3744,-86940] |
[a1,a2,a3,a4,a6] |
Generators |
[1898:28083:8] |
Generators of the group modulo torsion |
j |
11339065490696/351 |
j-invariant |
L |
2.1339749893058 |
L(r)(E,1)/r! |
Ω |
0.61031764969664 |
Real period |
R |
6.9929977950548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1248e3 2496h3 3744h3 31200n4 |
Quadratic twists by: -4 8 -3 5 |