Atkin-Lehner |
2+ 3- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100464t |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
714 |
Product of Tamagawa factors cp |
deg |
8408064 |
Modular degree for the optimal curve |
Δ |
-5.598320892003E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -3 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-766337,-11386977333] |
[a1,a2,a3,a4,a6] |
Generators |
[13294:-1525797:1] |
Generators of the group modulo torsion |
j |
-194421234790866715648/218684409843866928507 |
j-invariant |
L |
10.573897028991 |
L(r)(E,1)/r! |
Ω |
0.05041050219538 |
Real period |
R |
0.29377568043393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50232p1 |
Quadratic twists by: -4 |