Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100188bc |
Isogeny class |
Conductor |
100188 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-153714836339268336 = -1 · 24 · 311 · 119 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 3 11- 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-181137,-35161027] |
[a1,a2,a3,a4,a6] |
Generators |
[22040348:908954541:12167] |
Generators of the group modulo torsion |
j |
-31808383744/7438959 |
j-invariant |
L |
8.2604072582134 |
L(r)(E,1)/r! |
Ω |
0.11429212885192 |
Real period |
R |
9.0343133597168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33396d1 9108p1 |
Quadratic twists by: -3 -11 |