Atkin-Lehner |
7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48139i |
Isogeny class |
Conductor |
48139 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
401280 |
Modular degree for the optimal curve |
Δ |
743923716740477 = 75 · 13 · 237 |
Discriminant |
Eigenvalues |
2 2 -2 7+ -3 13- -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-96454,11487269] |
[a1,a2,a3,a4,a6] |
Generators |
[5649849918:32519513357:40001688] |
Generators of the group modulo torsion |
j |
670381355008/5025293 |
j-invariant |
L |
13.759450258735 |
L(r)(E,1)/r! |
Ω |
0.50880620384881 |
Real period |
R |
13.521307478837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2093j1 |
Quadratic twists by: -23 |