Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100188bm |
Isogeny class |
Conductor |
100188 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
-6958284772559472 = -1 · 24 · 36 · 1110 · 23 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 11- -3 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11253,4039585] |
[a1,a2,a3,a4,a6] |
Generators |
[29694720:1647273551:857375] |
Generators of the group modulo torsion |
j |
-7626496/336743 |
j-invariant |
L |
8.5343635494372 |
L(r)(E,1)/r! |
Ω |
0.34885774542985 |
Real period |
R |
12.231867657224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003335 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11132c1 9108n1 |
Quadratic twists by: -3 -11 |