Atkin-Lehner |
5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124025c |
Isogeny class |
Conductor |
124025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
242236328125 = 511 · 112 · 41 |
Discriminant |
Eigenvalues |
0 -1 5+ 3 11- -3 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-10633,424918] |
[a1,a2,a3,a4,a6] |
Generators |
[314:2059:8] [82:-313:1] |
Generators of the group modulo torsion |
j |
70327730176/128125 |
j-invariant |
L |
8.814412843988 |
L(r)(E,1)/r! |
Ω |
0.98888196928071 |
Real period |
R |
2.2283783892462 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24805b1 124025h1 |
Quadratic twists by: 5 -11 |