Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950iu |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
1344 |
Product of Tamagawa factors cp |
deg |
16558080 |
Modular degree for the optimal curve |
Δ |
-5.2117154099238E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-40426373,99538406337] |
[a1,a2,a3,a4,a6] |
Generators |
[5002:147439:1] |
Generators of the group modulo torsion |
j |
-10139667549471771941/72324653148288 |
j-invariant |
L |
14.907108939451 |
L(r)(E,1)/r! |
Ω |
0.11293010016157 |
Real period |
R |
0.098216497628502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950bj1 124950gn1 |
Quadratic twists by: 5 -7 |