Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200hf |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-4959439143750000 = -1 · 24 · 34 · 58 · 73 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 5 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34958,4208463] |
[a1,a2,a3,a4,a6] |
Generators |
[259:3549:1] |
Generators of the group modulo torsion |
j |
-755954840320/793510263 |
j-invariant |
L |
10.476321826036 |
L(r)(E,1)/r! |
Ω |
0.39288187524677 |
Real period |
R |
1.1110550915557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27300h1 109200dk1 |
Quadratic twists by: -4 5 |