Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
125840l |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
48592451564800 = 28 · 52 · 112 · 137 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 11- 13- -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10556,-252100] |
[a1,a2,a3,a4,a6] |
Generators |
[242:3380:1] |
Generators of the group modulo torsion |
j |
4199887549264/1568712925 |
j-invariant |
L |
7.2105438694962 |
L(r)(E,1)/r! |
Ω |
0.4858971922401 |
Real period |
R |
0.52998746430534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000119687 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62920t1 125840c1 |
Quadratic twists by: -4 -11 |